2001011131 has 16 divisors (see below), whose sum is σ = 2332032768. Its totient is φ = 1681336800.

The previous prime is 2001011123. The next prime is 2001011141. The reversal of 2001011131 is 1311101002.

It is a cyclic number.

It is not a de Polignac number, because 2001011131 - 2³ = 2001011123 is a prime.

It is a super-2 number, since 2×2001011131² = 8008091092771798322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001011101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789336 + ... + 791866.

It is an arithmetic number, because the mean of its divisors is an integer number (145752048).

Almost surely, 2^2001011131 is an apocalyptic number.

2001011131 is a deficient number, since it is larger than the sum of its proper divisors (331021637).

2001011131 is a wasteful number, since it uses less digits than its factorization.

2001011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 2001011131 is about 44732.6629097799. The cubic root of 2001011131 is about 1260.1333383288.

Adding to 2001011131 its reverse (1311101002), we get a palindrome (3312112133).

The spelling of 2001011131 in words is "two billion, one million, eleven thousand, one hundred thirty-one".