31013012400000 has 768 divisors, whose sum is σ = 104056672446720. Its totient is φ = 8183152640000.

The previous prime is 31013012399989. The next prime is 31013012400047. The reversal of 31013012400000 is 421031013.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70006799779 + ... + 70006800221.

It is an arithmetic number, because the mean of its divisors is an integer number (135490458915).

Almost surely, 2^{31013012400000} is an apocalyptic number.

31013012400000 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 31013012400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52028336223360).

31013012400000 is an abundant number, since it is smaller than the sum of its proper divisors (73043660046720).

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

31013012400000 is an equidigital number, since it uses as much as digits as its factorization.

31013012400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31013012400000 its reverse (421031013), we get a palindrome (31013433431013).

The spelling of 31013012400000 in words is "thirty-one trillion, thirteen billion, twelve million, four hundred thousand".