31013711304828 has 480 divisors, whose sum is σ = 88446892149504. Its totient is φ = 8449929621504.

The previous prime is 31013711304817. The next prime is 31013711304839. The reversal of 31013711304828 is 82840311731013.

It is an interprime number because it is at equal distance from previous prime (31013711304817) and next prime (31013711304839).

It is a super-2 number, since 2×31013711304828² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 31013711304828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11064469275 + ... + 11064472077.

Almost surely, 2^{31013711304828} 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 31013711304828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223446074752).

31013711304828 is an abundant number, since it is smaller than the sum of its proper divisors (57433180844676).

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

31013711304828 is a wasteful number, since it uses less digits than its factorization.

31013711304828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 31013711304828 in words is "thirty-one trillion, thirteen billion, seven hundred eleven million, three hundred four thousand, eight hundred twenty-eight".