31131321000000 has 588 divisors, whose sum is σ = 111490007597136. Its totient is φ = 7662969600000.

The previous prime is 31131320999981. The next prime is 31131321000011. The reversal of 31131321000000 is 12313113.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 506969299 + ... + 507030701.

Almost surely, 2^{31131321000000} is an apocalyptic number.

31131321000000 is a gapful number since it is divisible by the number (30) 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 31131321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55745003798568).

31131321000000 is an abundant number, since it is smaller than the sum of its proper divisors (80358686597136).

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

31131321000000 is an frugal number, since it uses more digits than its factorization.

31131321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61474 (or 61426 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31131321000000 its reverse (12313113), we get a palindrome (31131333313113).

The spelling of 31131321000000 in words is "thirty-one trillion, one hundred thirty-one billion, three hundred twenty-one million", and thus it is an aban number.