131022201112400 has 120 divisors (see below), whose sum is σ = 340254955960920. Its totient is φ = 48197585848320.

The previous prime is 131022201112351. The next prime is 131022201112441. The reversal of 131022201112400 is 4211102220131.

It can be written as a sum of positive squares in 12 ways, for example, as 112416229433104 + 18605971679296 = 10602652^2 + 4313464^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45434987 + ... + 48232586.

It is an arithmetic number, because the mean of its divisors is an integer number (2835457966341).

Almost surely, 2^{131022201112400} is an apocalyptic number.

131022201112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022201112400 is an abundant number, since it is smaller than the sum of its proper divisors (209232754848520).

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

131022201112400 is a wasteful number, since it uses less digits than its factorization.

131022201112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93667873 (or 93667862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131022201112400 its reverse (4211102220131), we get a palindrome (135233303332531).

The spelling of 131022201112400 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred one million, one hundred twelve thousand, four hundred".