1002131031 has 16 divisors (see below), whose sum is σ = 1458200448. Its totient is φ = 607120800.

The previous prime is 1002130949. The next prime is 1002131089. The reversal of 1002131031 is 1301312001.

It is not a de Polignac number, because 1002131031 - 2¹⁵ = 1002098263 is a prime.

It is a super-2 number, since 2×1002131031² = 2008533206586245922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002130998 and 1002131016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131531) 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, 129121 + ... + 136661.

It is an arithmetic number, because the mean of its divisors is an integer number (91137528).

Almost surely, 2^1002131031 is an apocalyptic number.

1002131031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002131031 is a deficient number, since it is larger than the sum of its proper divisors (456069417).

1002131031 is a wasteful number, since it uses less digits than its factorization.

1002131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1002131031 is about 31656.4532283704. The cubic root of 1002131031 is about 1000.7098396751.

Adding to 1002131031 its reverse (1301312001), we get a palindrome (2303443032).

The spelling of 1002131031 in words is "one billion, two million, one hundred thirty-one thousand, thirty-one".