133131431313 has 12 divisors (see below), whose sum is σ = 192305118928. Its totient is φ = 88752366360.

The previous prime is 133131431287. The next prime is 133131431371. The reversal of 133131431313 is 313134131331.

133131431313 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 314 + 31 + 313 = 666.

It is not a de Polignac number, because 133131431313 - 2⁵ = 133131431281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133131431383) 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, 371778 + ... + 635988.

Almost surely, 2^133131431313 is an apocalyptic number.

It is an amenable number.

133131431313 is a deficient number, since it is larger than the sum of its proper divisors (59173687615).

133131431313 is a wasteful number, since it uses less digits than its factorization.

133131431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320204 (or 320201 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 133131431313 its reverse (313134131331), we get a palindrome (446265562644).

The spelling of 133131431313 in words is "one hundred thirty-three billion, one hundred thirty-one million, four hundred thirty-one thousand, three hundred thirteen".