13012905164031 has 12 divisors (see below), whose sum is σ = 18796780362360. Its totient is φ = 8675103128400.

The previous prime is 13012905164029. The next prime is 13012905164047. The reversal of 13012905164031 is 13046150921031.

13012905164031 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 9 + 0 + 5 + 1 + 640 + 3 + 1 = 666.

It is not a de Polignac number, because 13012905164031 - 2¹ = 13012905164029 is a prime.

It is a super-2 number, since 2×13012905164031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012905164011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13420596 + ... + 14357513.

It is an arithmetic number, because the mean of its divisors is an integer number (1566398363530).

Almost surely, 2^{13012905164031} is an apocalyptic number.

13012905164031 is a deficient number, since it is larger than the sum of its proper divisors (5783875198329).

13012905164031 is a wasteful number, since it uses less digits than its factorization.

13012905164031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27830166 (or 27830163 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13012905164031 in words is "thirteen trillion, twelve billion, nine hundred five million, one hundred sixty-four thousand, thirty-one".