313111011020113 has 32 divisors (see below), whose sum is σ = 335802111000480. Its totient is φ = 290905733775360.

The previous prime is 313111011020111. The next prime is 313111011020189. The reversal of 313111011020113 is 311020110111313.

It can be written as a sum of positive squares in 16 ways, for example, as 48154883754384 + 264956127265729 = 6939372^2 + 16277473^2 .

It is a cyclic number.

It is not a de Polignac number, because 313111011020113 - 2¹ = 313111011020111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313111011020111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745439631 + ... + 3745523227.

It is an arithmetic number, because the mean of its divisors is an integer number (10493815968765).

Almost surely, 2^{313111011020113} is an apocalyptic number.

It is an amenable number.

313111011020113 is a deficient number, since it is larger than the sum of its proper divisors (22691099980367).

313111011020113 is a wasteful number, since it uses less digits than its factorization.

313111011020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87717.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 313111011020113 its reverse (311020110111313), we get a palindrome (624131121131426).

The spelling of 313111011020113 in words is "three hundred thirteen trillion, one hundred eleven billion, eleven million, twenty thousand, one hundred thirteen".