2002131131 has 32 divisors (see below), whose sum is σ = 2743104000. Its totient is φ = 1440059040.

The previous prime is 2002131083. The next prime is 2002131143. The reversal of 2002131131 is 1311312002.

It is not a de Polignac number, because 2002131131 - 2¹⁰ = 2002130107 is a prime.

It is a super-2 number, since 2×2002131131² = 8017058131438678322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002131151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28640 + ... + 69458.

It is an arithmetic number, because the mean of its divisors is an integer number (85722000).

Almost surely, 2^2002131131 is an apocalyptic number.

2002131131 is a deficient number, since it is larger than the sum of its proper divisors (740972869).

2002131131 is a wasteful number, since it uses less digits than its factorization.

2002131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40864 (or 40850 counting only the distinct ones).

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

The square root of 2002131131 is about 44745.1799750543. The cubic root of 2002131131 is about 1260.3684005065.

Adding to 2002131131 its reverse (1311312002), we get a palindrome (3313443133).

The spelling of 2002131131 in words is "two billion, two million, one hundred thirty-one thousand, one hundred thirty-one".