133112313333 has 10 divisors (see below), whose sum is σ = 198846789174. Its totient is φ = 88741542168.

The previous prime is 133112313329. The next prime is 133112313379. The reversal of 133112313333 is 333313211331.

133112313333 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 12 + 313 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133004631204 + 107682129 = 364698^2 + 10377^2 .

It is not a de Polignac number, because 133112313333 - 2² = 133112313329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133112313297 and 133112313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133112313133) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 821680866 + ... + 821681027.

Almost surely, 2^133112313333 is an apocalyptic number.

It is an amenable number.

133112313333 is a deficient number, since it is larger than the sum of its proper divisors (65734475841).

133112313333 is an equidigital number, since it uses as much as digits as its factorization.

133112313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643361905 (or 1643361896 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 133112313333 its reverse (333313211331), we get a palindrome (466425524664).

The spelling of 133112313333 in words is "one hundred thirty-three billion, one hundred twelve million, three hundred thirteen thousand, three hundred thirty-three".