3002131000000 has 588 divisors, whose sum is σ = 8389969013272. Its totient is φ = 1064448000000.

The previous prime is 3002130999979. The next prime is 3002131000013. The reversal of 3002131000000 is 1312003.

It is a super-2 number, since 2×3002131000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5202999712 + ... + 5203000288.

Almost surely, 2^{3002131000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194984506636).

3002131000000 is an abundant number, since it is smaller than the sum of its proper divisors (5387838013272).

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

3002131000000 is an frugal number, since it uses more digits than its factorization.

3002131000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 3002131000000 its reverse (1312003), we get a palindrome (3002132312003).

The spelling of 3002131000000 in words is "three trillion, two billion, one hundred thirty-one million", and thus it is an aban number.