311121232121113 has 2 divisors, whose sum is σ = 311121232121114. Its totient is φ = 311121232121112.

The previous prime is 311121232121111. The next prime is 311121232121137.

311121232121113 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202678729494784 + 108442502626329 = 14236528^2 + 10413573^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 311121232121113 - 2¹ = 311121232121111 is a prime.

Together with 311121232121111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (311121232121111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155560616060556 + 155560616060557.

It is an arithmetic number, because the mean of its divisors is an integer number (155560616060557).

Almost surely, 2^{311121232121113} is an apocalyptic number.

It is an amenable number.

311121232121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311121232121113 is an equidigital number, since it uses as much as digits as its factorization.

311121232121113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 25.

The spelling of 311121232121113 in words is "three hundred eleven trillion, one hundred twenty-one billion, two hundred thirty-two million, one hundred twenty-one thousand, one hundred thirteen".