20313132056400 has 240 divisors, whose sum is σ = 67978029127680. Its totient is φ = 5178939993600.

The previous prime is 20313132056377. The next prime is 20313132056411. The reversal of 20313132056400 is 465023131302.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201870 + ... + 6377069.

It is an arithmetic number, because the mean of its divisors is an integer number (283241788032).

Almost surely, 2^{20313132056400} is an apocalyptic number.

20313132056400 is a gapful number since it is divisible by the number (20) 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 20313132056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33989014563840).

20313132056400 is an abundant number, since it is smaller than the sum of its proper divisors (47664897071280).

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

20313132056400 is a wasteful number, since it uses less digits than its factorization.

20313132056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579074 (or 6579063 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 20313132056400 its reverse (465023131302), we get a palindrome (20778155187702).

The spelling of 20313132056400 in words is "twenty trillion, three hundred thirteen billion, one hundred thirty-two million, fifty-six thousand, four hundred".