31010031311013 has 12 divisors (see below), whose sum is σ = 45526566916428. Its totient is φ = 20334446760960.

The previous prime is 31010031311003. The next prime is 31010031311099. The reversal of 31010031311013 is 31011313001013.

31010031311013 is a `hidden beast` number, since 310 + 1 + 0 + 0 + 31 + 311 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15095532778209 + 15914498532804 = 3885297^2 + 3989298^2 .

It is not a de Polignac number, because 31010031311013 - 2⁴ = 31010031310997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31010031311003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28242286620 + ... + 28242287717.

It is an arithmetic number, because the mean of its divisors is an integer number (3793880576369).

Almost surely, 2^{31010031311013} is an apocalyptic number.

It is an amenable number.

31010031311013 is a deficient number, since it is larger than the sum of its proper divisors (14516535605415).

31010031311013 is a wasteful number, since it uses less digits than its factorization.

31010031311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56484574404 (or 56484574401 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31010031311013 its reverse (31011313001013), we get a palindrome (62021344312026).

The spelling of 31010031311013 in words is "thirty-one trillion, ten billion, thirty-one million, three hundred eleven thousand, thirteen".