31316300870400 has 2160 divisors, whose sum is σ = 150016449721600. Its totient is φ = 6259458539520.

The previous prime is 31316300870317. The next prime is 31316300870453. The reversal of 31316300870400 is 407800361313.

31316300870400 is a `hidden beast` number, since 3 + 13 + 1 + 630 + 0 + 8 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 896296131 + ... + 896331069.

Almost surely, 2^{31316300870400} is an apocalyptic number.

31316300870400 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 31316300870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75008224860800).

31316300870400 is an abundant number, since it is smaller than the sum of its proper divisors (118700148851200).

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

31316300870400 is a wasteful number, since it uses less digits than its factorization.

31316300870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35016 (or 34988 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 31316300870400 in words is "thirty-one trillion, three hundred sixteen billion, three hundred million, eight hundred seventy thousand, four hundred".