31013961600 has 384 divisors, whose sum is σ = 104734546560. Its totient is φ = 8064000000.

The previous prime is 31013961571. The next prime is 31013961607. The reversal of 31013961600 is 616931013.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013961607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123561475 + ... + 123561725.

It is an arithmetic number, because the mean of its divisors is an integer number (272746215).

Almost surely, 2^31013961600 is an apocalyptic number.

31013961600 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 31013961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52367273280).

31013961600 is an abundant number, since it is smaller than the sum of its proper divisors (73720584960).

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

31013961600 is a wasteful number, since it uses less digits than its factorization.

31013961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 31013961600 in words is "thirty-one billion, thirteen million, nine hundred sixty-one thousand, six hundred".