31320124400 has 120 divisors (see below), whose sum is σ = 80293395120. Its totient is φ = 11705886720.

The previous prime is 31320124387. The next prime is 31320124417. The reversal of 31320124400 is 442102313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526574 + ... + 583026.

It is an arithmetic number, because the mean of its divisors is an integer number (669111626).

Almost surely, 2^31320124400 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 31320124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40146697560).

31320124400 is an abundant number, since it is smaller than the sum of its proper divisors (48973270720).

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

31320124400 is a wasteful number, since it uses less digits than its factorization.

31320124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56563 (or 56552 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31320124400 its reverse (442102313), we get a palindrome (31762226713).

The spelling of 31320124400 in words is "thirty-one billion, three hundred twenty million, one hundred twenty-four thousand, four hundred".