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13131201330312 = 2331342087183751
BaseRepresentation
bin1011111100010101100010…
…0101110011110010001000
31201111022220222221200021120
42333011120211303302020
53210120200020032222
643532220212235240
72523461260454442
oct277053045636210
951438828850246
1013131201330312
114202a0290409a
121580ab890bb20
137433616cba90
143357a6c89492
1517b88cbea15c
hexbf158973c88

13131201330312 has 32 divisors (see below), whose sum is σ = 35353234351680. Its totient is φ = 4040369640000.

The previous prime is 13131201330281. The next prime is 13131201330337. The reversal of 13131201330312 is 21303310213131.

13131201330312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21043591564 + ... + 21043592187.

It is an arithmetic number, because the mean of its divisors is an integer number (1104788573490).

Almost surely, 213131201330312 is an apocalyptic number.

13131201330312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131201330312 is an abundant number, since it is smaller than the sum of its proper divisors (22222033021368).

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

13131201330312 is a wasteful number, since it uses less digits than its factorization.

13131201330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42087183773 (or 42087183769 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13131201330312 its reverse (21303310213131), we get a palindrome (34434511543443).

The spelling of 13131201330312 in words is "thirteen trillion, one hundred thirty-one billion, two hundred one million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 42087183751 84174367502 126261551253 168348735004 252523102506 336697470008 505046205012 547133388763 1010092410024 1094266777526 1641400166289 2188533555052 3282800332578 4377067110104 6565600665156 13131201330312