31321382400 has 1440 divisors, whose sum is σ = 145768170240. Its totient is φ = 6447513600.

The previous prime is 31321382381. The next prime is 31321382419. The reversal of 31321382400 is 428312313.

It is an interprime number because it is at equal distance from previous prime (31321382381) and next prime (31321382419).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292723147 + ... + 292723253.

It is an arithmetic number, because the mean of its divisors is an integer number (101227896).

Almost surely, 2^31321382400 is an apocalyptic number.

31321382400 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 31321382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72884085120).

31321382400 is an abundant number, since it is smaller than the sum of its proper divisors (114446787840).

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

31321382400 is a wasteful number, since it uses less digits than its factorization.

31321382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31321382400 its reverse (428312313), we get a palindrome (31749694713).

The spelling of 31321382400 in words is "thirty-one billion, three hundred twenty-one million, three hundred eighty-two thousand, four hundred".