131424231223200 has 72 divisors (see below), whose sum is σ = 427785872639328. Its totient is φ = 35046461658880.

The previous prime is 131424231223163. The next prime is 131424231223217. The reversal of 131424231223200 is 2322132424131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27380045772 + ... + 27380050571.

It is an arithmetic number, because the mean of its divisors is an integer number (5941470453324).

Almost surely, 2^{131424231223200} is an apocalyptic number.

131424231223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424231223200 is an abundant number, since it is smaller than the sum of its proper divisors (296361641416128).

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

131424231223200 is a wasteful number, since it uses less digits than its factorization.

131424231223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54760096366 (or 54760096353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131424231223200 its reverse (2322132424131), we get a palindrome (133746363647331).

The spelling of 131424231223200 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred".