313111310101 has 2 divisors, whose sum is σ = 313111310102. Its totient is φ = 313111310100.

The previous prime is 313111310093. The next prime is 313111310107. The reversal of 313111310101 is 101013111313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305669659876 + 7441650225 = 552874^2 + 86265^2 .

It is a cyclic number.

It is not a de Polignac number, because 313111310101 - 2³ = 313111310093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313111310107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555655050 + 156555655051.

It is an arithmetic number, because the mean of its divisors is an integer number (156555655051).

Almost surely, 2^313111310101 is an apocalyptic number.

It is an amenable number.

313111310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313111310101 is an equidigital number, since it uses as much as digits as its factorization.

313111310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 313111310101 its reverse (101013111313), we get a palindrome (414124421414).

The spelling of 313111310101 in words is "three hundred thirteen billion, one hundred eleven million, three hundred ten thousand, one hundred one".