131232100321200 has 240 divisors, whose sum is σ = 433361502195840. Its totient is φ = 33930824509440.

The previous prime is 131232100321181. The next prime is 131232100321247. The reversal of 131232100321200 is 2123001232131.

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

It is a super-2 number, since 2×131232100321200² (a number of 29 digits) contains 22 as substring.

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, 7527222 + ... + 17864021.

It is an arithmetic number, because the mean of its divisors is an integer number (1805672925816).

Almost surely, 2^{131232100321200} is an apocalyptic number.

131232100321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131232100321200 is an abundant number, since it is smaller than the sum of its proper divisors (302129401874640).

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

131232100321200 is a wasteful number, since it uses less digits than its factorization.

131232100321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391396 (or 25391385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131232100321200 its reverse (2123001232131), we get a palindrome (133355101553331).

The spelling of 131232100321200 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, one hundred million, three hundred twenty-one thousand, two hundred".