31309885152 has 840 divisors, whose sum is σ = 118810420344. Its totient is φ = 8065516032.

The previous prime is 31309885147. The next prime is 31309885193. The reversal of 31309885152 is 25158890313.

It is a junction number, because it is equal to n+sod(n) for n = 31309885098 and 31309885107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 728136843 + ... + 728136885.

Almost surely, 2^31309885152 is an apocalyptic number.

31309885152 is a gapful number since it is divisible by the number (32) 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 31309885152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59405210172).

31309885152 is an abundant number, since it is smaller than the sum of its proper divisors (87500535192).

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

31309885152 is an frugal number, since it uses more digits than its factorization.

31309885152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 31309885152 in words is "thirty-one billion, three hundred nine million, eight hundred eighty-five thousand, one hundred fifty-two".