1002131000 has 128 divisors (see below), whose sum is σ = 2546631360. Its totient is φ = 366912000.

The previous prime is 1002130949. The next prime is 1002131089. The reversal of 1002131000 is 1312001.

It is a super-2 number, since 2×1002131000² = 2008533082322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040755 + ... + 2041245.

Almost surely, 2^1002131000 is an apocalyptic number.

1002131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273315680).

1002131000 is an abundant number, since it is smaller than the sum of its proper divisors (1544500360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002131000 is a wasteful number, since it uses less digits than its factorization.

1002131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1002131000 is about 31656.4527387387. The cubic root of 1002131000 is about 1000.7098293564.

Adding to 1002131000 its reverse (1312001), we get a palindrome (1003443001).

The spelling of 1002131000 in words is "one billion, two million, one hundred thirty-one thousand".