113312133113 has 2 divisors, whose sum is σ = 113312133114. Its totient is φ = 113312133112.

The previous prime is 113312133061. The next prime is 113312133191. The reversal of 113312133113 is 311331213311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109023454969 + 4288678144 = 330187^2 + 65488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113312133113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113312153113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656066556 + 56656066557.

It is an arithmetic number, because the mean of its divisors is an integer number (56656066557).

Almost surely, 2^113312133113 is an apocalyptic number.

It is an amenable number.

113312133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312133113 is an equidigital number, since it uses as much as digits as its factorization.

113312133113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 23.

Adding to 113312133113 its reverse (311331213311), we get a palindrome (424643346424).

It can be divided in two parts, 11331213311 and 3, that multiplied together give a palindrome (33993639933).

The spelling of 113312133113 in words is "one hundred thirteen billion, three hundred twelve million, one hundred thirty-three thousand, one hundred thirteen".