131272445203200 has 648 divisors, whose sum is σ = 538271352539648. Its totient is φ = 29899079147520.

The previous prime is 131272445203189. The next prime is 131272445203201. The reversal of 131272445203200 is 2302544272131.

131272445203200 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 7 + 2 + 445 + 2 + 0 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131272445203201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113530377 + ... + 114680823.

Almost surely, 2^{131272445203200} is an apocalyptic number.

131272445203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131272445203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269135676269824).

131272445203200 is an abundant number, since it is smaller than the sum of its proper divisors (406998907336448).

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

131272445203200 is a wasteful number, since it uses less digits than its factorization.

131272445203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150769 (or 1150747 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 131272445203200 its reverse (2302544272131), we get a palindrome (133574989475331).

The spelling of 131272445203200 in words is "one hundred thirty-one trillion, two hundred seventy-two billion, four hundred forty-five million, two hundred three thousand, two hundred".