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13131023110432 = 2541179259321563
BaseRepresentation
bin1011111100010100110111…
…1101111101000100100000
31201111022110120121011120021
42333011031331331010200
53210114313404013212
643532150404323224
72523453664562113
oct277051575750440
951438416534507
1013131023110432
114202921247937
121580a690a3514
137433337cc226
1433578b33657a
1517b87c244307
hexbf14df7d120

13131023110432 has 96 divisors (see below), whose sum is σ = 26641681980480. Its totient is φ = 6366841159680.

The previous prime is 13131023110423. The next prime is 13131023110433. The reversal of 13131023110432 is 23401132013131.

It is a junction number, because it is equal to n+sod(n) for n = 13131023110397 and 13131023110406.

It is not an unprimeable number, because it can be changed into a prime (13131023110433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608950083 + ... + 608971645.

It is an arithmetic number, because the mean of its divisors is an integer number (277517520630).

Almost surely, 213131023110432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131023110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320840990240).

13131023110432 is an abundant number, since it is smaller than the sum of its proper divisors (13510658870048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131023110432 is a wasteful number, since it uses less digits than its factorization.

13131023110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24386 (or 24378 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13131023110432 its reverse (23401132013131), we get a palindrome (36532155123563).

The spelling of 13131023110432 in words is "thirteen trillion, one hundred thirty-one billion, twenty-three million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 179 328 358 656 716 1312 1432 2593 2864 5186 5728 7339 10372 14678 20744 21563 29356 41488 43126 58712 82976 86252 106313 117424 172504 212626 234848 345008 425252 464147 690016 850504 884083 928294 1701008 1768166 1856588 3402016 3536332 3713176 3859777 7072664 7426352 7719554 14145328 14852704 15439108 19030027 28290656 30878216 38060054 55912859 61756432 76120108 111825718 123512864 152240216 158250857 223651436 304480432 316501714 447302872 608960864 633003428 894605744 1266006856 1789211488 2292427219 2532013712 4584854438 5064027424 9169708876 10008401761 18339417752 20016803522 36678835504 40033607044 73357671008 80067214088 160134428176 320268856352 410344472201 820688944402 1641377888804 3282755777608 6565511555216 13131023110432