3131000000000 has 400 divisors, whose sum is σ = 8152030415232. Its totient is φ = 1200000000000.

The previous prime is 3130999999999. The next prime is 3131000000003. The reversal of 3131000000000 is 1313.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3131000000000² (a number of 26 digits) 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 not an unprimeable number, because it can be changed into a prime (3131000000003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30999999950 + ... + 31000000050.

Almost surely, 2^{3131000000000} 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 3131000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076015207616).

3131000000000 is an abundant number, since it is smaller than the sum of its proper divisors (5021030415232).

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

3131000000000 is an frugal number, since it uses more digits than its factorization.

3131000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 3131000000000 its reverse (1313), we get a palindrome (3131000001313).

The spelling of 3131000000000 in words is "three trillion, one hundred thirty-one billion", and thus it is an aban number.