13121011014012 has 72 divisors (see below), whose sum is σ = 36224402406192. Its totient is φ = 3971424326400.

The previous prime is 13121011013983. The next prime is 13121011014037. The reversal of 13121011014012 is 21041011012131.

13121011014012 is a `hidden beast` number, since 131 + 21 + 0 + 110 + 1 + 401 + 2 = 666.

It is a super-2 number, since 2×13121011014012² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18991939 + ... + 19670682.

It is an arithmetic number, because the mean of its divisors is an integer number (503116700086).

Almost surely, 2^{13121011014012} is an apocalyptic number.

13121011014012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121011014012 is an abundant number, since it is smaller than the sum of its proper divisors (23103391392180).

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

13121011014012 is a wasteful number, since it uses less digits than its factorization.

13121011014012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38663499 (or 38663494 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 13121011014012 its reverse (21041011012131), we get a palindrome (34162022026143).

The spelling of 13121011014012 in words is "thirteen trillion, one hundred twenty-one billion, eleven million, fourteen thousand, twelve".