131232111331200 has 384 divisors, whose sum is σ = 483041848343040. Its totient is φ = 31037896704000.

The previous prime is 131232111331199. The next prime is 131232111331219. The reversal of 131232111331200 is 2133111232131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10825624 + ... + 19484823.

It is an arithmetic number, because the mean of its divisors is an integer number (1257921480060).

Almost surely, 2^{131232111331200} is an apocalyptic number.

131232111331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131232111331200 is an abundant number, since it is smaller than the sum of its proper divisors (351809737011840).

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

131232111331200 is a wasteful number, since it uses less digits than its factorization.

131232111331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30310526 (or 30310509 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131232111331200 its reverse (2133111232131), we get a palindrome (133365222563331).

The spelling of 131232111331200 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, one hundred eleven million, three hundred thirty-one thousand, two hundred".