310102000013 has 40 divisors (see below), whose sum is σ = 351735307776. Its totient is φ = 273057220800.

The previous prime is 310102000009. The next prime is 310102000027. The reversal of 310102000013 is 310000201013.

It is not a de Polignac number, because 310102000013 - 2² = 310102000009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310101999958 and 310102000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310102000003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62860295 + ... + 62865227.

Almost surely, 2^310102000013 is an apocalyptic number.

It is an amenable number.

310102000013 is a deficient number, since it is larger than the sum of its proper divisors (41633307763).

310102000013 is an frugal number, since it uses more digits than its factorization.

310102000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 310102000013 its reverse (310000201013), we get a palindrome (620102201026).

The spelling of 310102000013 in words is "three hundred ten billion, one hundred two million, thirteen", and thus it is an aban number.