331114242411133 has 2 divisors, whose sum is σ = 331114242411134. Its totient is φ = 331114242411132.

The previous prime is 331114242411131. The next prime is 331114242411157.

331114242411133 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., 250055965932964 + 81058276478169 = 15813158^2 + 9003237^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331114242411133 - 2¹ = 331114242411131 is a prime.

Together with 331114242411131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331114242411131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165557121205566 + 165557121205567.

It is an arithmetic number, because the mean of its divisors is an integer number (165557121205567).

Almost surely, 2^{331114242411133} is an apocalyptic number.

It is an amenable number.

331114242411133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331114242411133 is an equidigital number, since it uses as much as digits as its factorization.

331114242411133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 34.

The spelling of 331114242411133 in words is "three hundred thirty-one trillion, one hundred fourteen billion, two hundred forty-two million, four hundred eleven thousand, one hundred thirty-three".