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13131111121332 = 2232238148892331
BaseRepresentation
bin1011111100010101001100…
…1101101100000110110100
31201111022200201012120211020
42333011103031230012310
53210120003421340312
643532203230541140
72523456113631501
oct277052315540664
951438621176736
1013131111121332
11420296699a816
121580a926677b0
13743348b05999
14335798cc64a8
1517b884d2b78c
hexbf15336c1b4

13131111121332 has 24 divisors (see below), whose sum is σ = 30640628895072. Its totient is φ = 4376841381600.

The previous prime is 13131111121309. The next prime is 13131111121357. The reversal of 13131111121332 is 23312111113131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24177594 + ... + 24714737.

It is an arithmetic number, because the mean of its divisors is an integer number (1276692870628).

Almost surely, 213131111121332 is an apocalyptic number.

13131111121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131111121332 is an abundant number, since it is smaller than the sum of its proper divisors (17509517773740).

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

13131111121332 is a wasteful number, since it uses less digits than its factorization.

13131111121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48914719 (or 48914717 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

Adding to 13131111121332 its reverse (23312111113131), we get a palindrome (36443222234463).

The spelling of 13131111121332 in words is "thirteen trillion, one hundred thirty-one billion, one hundred eleven million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 22381 44762 67143 89524 134286 268572 48892331 97784662 146676993 195569324 293353986 586707972 1094259260111 2188518520222 3282777780333 4377037040444 6565555560666 13131111121332