31130116576 has 192 divisors, whose sum is σ = 72365602176. Its totient is φ = 13049856000.

The previous prime is 31130116531. The next prime is 31130116597. The reversal of 31130116576 is 67561103113.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29284621 + ... + 29285683.

It is an arithmetic number, because the mean of its divisors is an integer number (376904178).

Almost surely, 2^31130116576 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 31130116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36182801088).

31130116576 is an abundant number, since it is smaller than the sum of its proper divisors (41235485600).

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

31130116576 is a wasteful number, since it uses less digits than its factorization.

31130116576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

Adding to 31130116576 its reverse (67561103113), we get a palindrome (98691219689).

The spelling of 31130116576 in words is "thirty-one billion, one hundred thirty million, one hundred sixteen thousand, five hundred seventy-six".