31138877016 has 384 divisors, whose sum is σ = 102148300800. Its totient is φ = 8465264640.

The previous prime is 31138877009. The next prime is 31138877023. The reversal of 31138877016 is 61077883113.

It is an interprime number because it is at equal distance from previous prime (31138877009) and next prime (31138877023).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38395251 + ... + 38396061.

It is an arithmetic number, because the mean of its divisors is an integer number (266011200).

Almost surely, 2^31138877016 is an apocalyptic number.

31138877016 is a gapful number since it is divisible by the number (36) 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 31138877016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51074150400).

31138877016 is an abundant number, since it is smaller than the sum of its proper divisors (71009423784).

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

31138877016 is a wasteful number, since it uses less digits than its factorization.

31138877016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 31138877016 in words is "thirty-one billion, one hundred thirty-eight million, eight hundred seventy-seven thousand, sixteen".