310000000013 has 16 divisors (see below), whose sum is σ = 338710118400. Its totient is φ = 281378212080.

The previous prime is 309999999983. The next prime is 310000000019.

310000000013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-310000000013 is a prime.

It is a super-2 number, since 2×310000000013² (a number of 24 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 (310000000019) 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, 31502348 + ... + 31512186.

It is an arithmetic number, because the mean of its divisors is an integer number (21169382400).

Almost surely, 2^310000000013 is an apocalyptic number.

It is an amenable number.

310000000013 is a deficient number, since it is larger than the sum of its proper divisors (28710118387).

310000000013 is a wasteful number, since it uses less digits than its factorization.

310000000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14032.

The product of its (nonzero) digits is 9, while the sum is 8.

It can be divided in two parts, 3100000000 and 13, that added together give a palindrome (3100000013).

The spelling of 310000000013 in words is "three hundred ten billion, thirteen", and thus it is an aban number.