133131131113311 has 12 divisors (see below), whose sum is σ = 192451110459192. Its totient is φ = 88684585375056.

The previous prime is 133131131113273. The next prime is 133131131113333. The reversal of 133131131113311 is 113311131131331.

133131131113311 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 11 + 311 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 133131131113311 - 2³⁵ = 133096771374943 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131131118311) 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, 5791824021 + ... + 5791847006.

It is an arithmetic number, because the mean of its divisors is an integer number (16037592538266).

Almost surely, 2^{133131131113311} is an apocalyptic number.

133131131113311 is a deficient number, since it is larger than the sum of its proper divisors (59319979345881).

133131131113311 is a wasteful number, since it uses less digits than its factorization.

133131131113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583672310 (or 11583672307 counting only the distinct ones).

The product of its digits is 729, while the sum is 27.

Adding to 133131131113311 its reverse (113311131131331), we get a palindrome (246442262244642).

The spelling of 133131131113311 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred eleven".