131123310541200 has 180 divisors, whose sum is σ = 456469754158548. Its totient is φ = 34855912320000.

The previous prime is 131123310541199. The next prime is 131123310541313. The reversal of 131123310541200 is 2145013321131.

131123310541200 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 233 + 10 + 5 + 412 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67979563280784 + 63143747260416 = 8244972^2 + 7946304^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×131123310541200³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56308551 + ... + 58590950.

Almost surely, 2^{131123310541200} is an apocalyptic number.

131123310541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123310541200 is an abundant number, since it is smaller than the sum of its proper divisors (325346443617348).

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

131123310541200 is a wasteful number, since it uses less digits than its factorization.

131123310541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114899842 (or 114899828 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131123310541200 its reverse (2145013321131), we get a palindrome (133268323862331).

The spelling of 131123310541200 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, three hundred ten million, five hundred forty-one thousand, two hundred".