310211242112013 has 48 divisors (see below), whose sum is σ = 466928909303808. Its totient is φ = 182922873091200.

The previous prime is 310211242111993. The next prime is 310211242112027.

310211242112013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310211242112013 - 2¹² = 310211242107917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310211242112813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278926295 + ... + 1279168827.

It is an arithmetic number, because the mean of its divisors is an integer number (9727685610496).

Almost surely, 2^{310211242112013} is an apocalyptic number.

310211242112013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310211242112013 is a deficient number, since it is larger than the sum of its proper divisors (156717667191795).

310211242112013 is a wasteful number, since it uses less digits than its factorization.

310211242112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337826 (or 337815 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 310211242112013 in words is "three hundred ten trillion, two hundred eleven billion, two hundred forty-two million, one hundred twelve thousand, thirteen".