13101310011312 has 60 divisors (see below), whose sum is σ = 36665828872920. Its totient is φ = 4367060803584.

The previous prime is 13101310011247. The next prime is 13101310011337. The reversal of 13101310011312 is 21311001310131.

13101310011312 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 310 + 0 + 11 + 312 = 666.

It is a super-2 number, since 2×13101310011312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16684383 + ... + 17451969.

It is an arithmetic number, because the mean of its divisors is an integer number (611097147882).

Almost surely, 2^{13101310011312} is an apocalyptic number.

13101310011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101310011312 is an abundant number, since it is smaller than the sum of its proper divisors (23564518861608).

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

13101310011312 is a wasteful number, since it uses less digits than its factorization.

13101310011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886130 (or 886121 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13101310011312 its reverse (21311001310131), we get a palindrome (34412311321443).

The spelling of 13101310011312 in words is "thirteen trillion, one hundred one billion, three hundred ten million, eleven thousand, three hundred twelve".