311331101133113 has 2 divisors, whose sum is σ = 311331101133114. Its totient is φ = 311331101133112.

The previous prime is 311331101133053. The next prime is 311331101133119.

311331101133113 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296621636407849 + 14709464725264 = 17222707^2 + 3835292^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311331101133113 is a prime.

It is a super-3 number, since 3×311331101133113³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (311331101133119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665550566556 + 155665550566557.

It is an arithmetic number, because the mean of its divisors is an integer number (155665550566557).

Almost surely, 2^{311331101133113} is an apocalyptic number.

It is an amenable number.

311331101133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331101133113 is an equidigital number, since it uses as much as digits as its factorization.

311331101133113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 26.

It can be divided in two parts, 31133110 and 1133113, that added together give a palindrome (32266223).

The spelling of 311331101133113 in words is "three hundred eleven trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred thirteen".