2001312131 has 64 divisors (see below), whose sum is σ = 2702730240. Its totient is φ = 1437143040.

The previous prime is 2001312109. The next prime is 2001312139. The reversal of 2001312131 is 1312131002.

It is a cyclic number.

It is not a de Polignac number, because 2001312131 - 2¹⁰ = 2001311107 is a prime.

It is a super-2 number, since 2×2001312131² = 8010500491375522322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001312139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8816240 + ... + 8816466.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 2^2001312131 is an apocalyptic number.

2001312131 is a deficient number, since it is larger than the sum of its proper divisors (701418109).

2001312131 is a wasteful number, since it uses less digits than its factorization.

2001312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2001312131 is about 44736.0272152099. The cubic root of 2001312131 is about 1260.1965199060.

Adding to 2001312131 its reverse (1312131002), we get a palindrome (3313443133).

The spelling of 2001312131 in words is "two billion, one million, three hundred twelve thousand, one hundred thirty-one".