131200011101313 has 160 divisors (see below), whose sum is σ = 252298360258560. Its totient is φ = 65940351696000.

The previous prime is 131200011101213. The next prime is 131200011101321. The reversal of 131200011101313 is 313101110002131.

131200011101313 is a `hidden beast` number, since 131 + 200 + 0 + 11 + 10 + 1 + 313 = 666.

It is not a de Polignac number, because 131200011101313 - 2²² = 131200006907009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131200011101213) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 771176128 + ... + 771346238.

It is an arithmetic number, because the mean of its divisors is an integer number (1576864751616).

Almost surely, 2^{131200011101313} is an apocalyptic number.

It is an amenable number.

131200011101313 is a deficient number, since it is larger than the sum of its proper divisors (121098349157247).

131200011101313 is a wasteful number, since it uses less digits than its factorization.

131200011101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174161 (or 174152 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131200011101313 its reverse (313101110002131), we get a palindrome (444301121103444).

The spelling of 131200011101313 in words is "one hundred thirty-one trillion, two hundred billion, eleven million, one hundred one thousand, three hundred thirteen".