313133132133 has 12 divisors (see below), whose sum is σ = 452413811200. Its totient is φ = 208704468456.

The previous prime is 313133132129. The next prime is 313133132159. The reversal of 313133132133 is 331231331313.

313133132133 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 331 + 321 + 3 + 3 = 666.

It is not a de Polignac number, because 313133132133 - 2² = 313133132129 is a prime.

It is a super-3 number, since 3×313133132133³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313133132097 and 313133132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313133132033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4207141 + ... + 4280922.

Almost surely, 2^313133132133 is an apocalyptic number.

It is an amenable number.

313133132133 is a deficient number, since it is larger than the sum of its proper divisors (139280679067).

313133132133 is a wasteful number, since it uses less digits than its factorization.

313133132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492168 (or 8492165 counting only the distinct ones).

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

Adding to 313133132133 its reverse (331231331313), we get a palindrome (644364463446).

The spelling of 313133132133 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-three".