131021133113 has 12 divisors (see below), whose sum is σ = 145335327228. Its totient is φ = 117992759040.

The previous prime is 131021133091. The next prime is 131021133119. The reversal of 131021133113 is 311331120131.

It can be written as a sum of positive squares in 6 ways, for example, as 71978450944 + 59042682169 = 268288^2 + 242987^2 .

It is not a de Polignac number, because 131021133113 - 2⁶ = 131021133049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131021133119) 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, 9447620 + ... + 9461477.

It is an arithmetic number, because the mean of its divisors is an integer number (12111277269).

Almost surely, 2^131021133113 is an apocalyptic number.

131021133113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131021133113 is a deficient number, since it is larger than the sum of its proper divisors (14314194115).

131021133113 is a wasteful number, since it uses less digits than its factorization.

131021133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18909164 (or 18909151 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131021133113 its reverse (311331120131), we get a palindrome (442352253244).

The spelling of 131021133113 in words is "one hundred thirty-one billion, twenty-one million, one hundred thirty-three thousand, one hundred thirteen".