31131020000000 has 144 divisors (see below), whose sum is σ = 77675394119232. Its totient is φ = 12452400000000.

The previous prime is 31131019999993. The next prime is 31131020000039. The reversal of 31131020000000 is 2013113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19221725 + ... + 20778275.

Almost surely, 2^{31131020000000} 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 31131020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38837697059616).

31131020000000 is an abundant number, since it is smaller than the sum of its proper divisors (46544374119232).

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

31131020000000 is an frugal number, since it uses more digits than its factorization.

31131020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556602 (or 1556558 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31131020000000 its reverse (2013113), we get a palindrome (31131022013113).

The spelling of 31131020000000 in words is "thirty-one trillion, one hundred thirty-one billion, twenty million", and thus it is an aban number.