310130000031013 has 16 divisors (see below), whose sum is σ = 313310350572912. Its totient is φ = 306951814080000.

The previous prime is 310130000030923. The next prime is 310130000031053.

310130000031013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 20653225554724 + 289476774476289 = 4544582^2 + 17014017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-310130000031013 is a prime.

It is a super-2 number, since 2×310130000031013² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310130000031053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999984495 + ... + 10000015507.

It is an arithmetic number, because the mean of its divisors is an integer number (19581896910807).

Almost surely, 2^{310130000031013} is an apocalyptic number.

It is an amenable number.

310130000031013 is a deficient number, since it is larger than the sum of its proper divisors (3180350541899).

310130000031013 is a wasteful number, since it uses less digits than its factorization.

310130000031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62616.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 3101300000 and 31013, that added together give a palindrome (3101331013).

The spelling of 310130000031013 in words is "three hundred ten trillion, one hundred thirty billion, thirty-one thousand, thirteen".