310331011002113 has 16 divisors (see below), whose sum is σ = 311927660290512. Its totient is φ = 308738586624000.

The previous prime is 310331011002083. The next prime is 310331011002167. The reversal of 310331011002113 is 311200110133013.

It can be written as a sum of positive squares in 8 ways, for example, as 3958953842944 + 306372057159169 = 1989712^2 + 17503487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-310331011002113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (310331011002613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525564023 + ... + 526154163.

It is an arithmetic number, because the mean of its divisors is an integer number (19495478768157).

Almost surely, 2^{310331011002113} is an apocalyptic number.

It is an amenable number.

310331011002113 is a deficient number, since it is larger than the sum of its proper divisors (1596649288399).

310331011002113 is a wasteful number, since it uses less digits than its factorization.

310331011002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593716.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 310331011002113 its reverse (311200110133013), we get a palindrome (621531121135126).

The spelling of 310331011002113 in words is "three hundred ten trillion, three hundred thirty-one billion, eleven million, two thousand, one hundred thirteen".