1002131000000 has 392 divisors, whose sum is σ = 2699469508848. Its totient is φ = 366912000000.

The previous prime is 1002130999963. The next prime is 1002131000047. The reversal of 1002131000000 is 1312001.

It is a super-2 number, since 2×1002131000000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2040999755 + ... + 2041000245.

Almost surely, 2^{1002131000000} is an apocalyptic number.

1002131000000 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 1002131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349734754424).

1002131000000 is an abundant number, since it is smaller than the sum of its proper divisors (1697338508848).

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

1002131000000 is an frugal number, since it uses more digits than its factorization.

1002131000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 668 counting only the distinct ones).

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

Adding to 1002131000000 its reverse (1312001), we get a palindrome (1002132312001).

The spelling of 1002131000000 in words is "one trillion, two billion, one hundred thirty-one million", and thus it is an aban number.