310131122113313 has 12 divisors (see below), whose sum is σ = 321195380354940. Its totient is φ = 299435717789376.

The previous prime is 310131122113291. The next prime is 310131122113357. The reversal of 310131122113313 is 313311221131013.

It can be written as a sum of positive squares in 6 ways, for example, as 129849397941904 + 180281724171409 = 11395148^2 + 13426903^2 .

It is not a de Polignac number, because 310131122113313 - 2¹⁰ = 310131122112289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (310131122113913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256504883 + ... + 257711111.

It is an arithmetic number, because the mean of its divisors is an integer number (26766281696245).

Almost surely, 2^{310131122113313} is an apocalyptic number.

It is an amenable number.

310131122113313 is a deficient number, since it is larger than the sum of its proper divisors (11064258241627).

310131122113313 is a wasteful number, since it uses less digits than its factorization.

310131122113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512004 (or 1511975 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 310131122113313 its reverse (313311221131013), we get a palindrome (623442343244326).

The spelling of 310131122113313 in words is "three hundred ten trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred thirteen".