131001031313 has 8 divisors (see below), whose sum is σ = 131402716800. Its totient is φ = 130599589680.

The previous prime is 131001031307. The next prime is 131001031331. The reversal of 131001031313 is 313130100131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131001031313 - 2¹² = 131001027217 is a prime.

It is a super-2 number, since 2×131001031313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131001031291 and 131001031300.

It is not an unprimeable number, because it can be changed into a prime (131001031613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045763 + ... + 1164311.

It is an arithmetic number, because the mean of its divisors is an integer number (16425339600).

Almost surely, 2^131001031313 is an apocalyptic number.

It is an amenable number.

131001031313 is a deficient number, since it is larger than the sum of its proper divisors (401685487).

131001031313 is a wasteful number, since it uses less digits than its factorization.

131001031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121927.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 131001031313 its reverse (313130100131), we get a palindrome (444131131444).

The spelling of 131001031313 in words is "one hundred thirty-one billion, one million, thirty-one thousand, three hundred thirteen".