20131132414400 has 168 divisors, whose sum is σ = 56615343650976. Its totient is φ = 6901648588800.

The previous prime is 20131132414369. The next prime is 20131132414493. The reversal of 20131132414400 is 441423113102.

It is a super-2 number, since 2×20131132414400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20131132414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200665052 + ... + 200765348.

Almost surely, 2^{20131132414400} is an apocalyptic number.

20131132414400 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 20131132414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28307671825488).

20131132414400 is an abundant number, since it is smaller than the sum of its proper divisors (36484211236576).

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

20131132414400 is a wasteful number, since it uses less digits than its factorization.

20131132414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118247 (or 118232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 20131132414400 its reverse (441423113102), we get a palindrome (20572555527502).

The spelling of 20131132414400 in words is "twenty trillion, one hundred thirty-one billion, one hundred thirty-two million, four hundred fourteen thousand, four hundred".