131201302113200 has 480 divisors, whose sum is σ = 357483906565632. Its totient is φ = 45861258240000.

The previous prime is 131201302113109. The next prime is 131201302113227. The reversal of 131201302113200 is 2311203102131.

It is a happy number.

It is a super-2 number, since 2×131201302113200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3191215844 + ... + 3191256956.

Almost surely, 2^{131201302113200} is an apocalyptic number.

131201302113200 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 131201302113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178741953282816).

131201302113200 is an abundant number, since it is smaller than the sum of its proper divisors (226282604452432).

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

131201302113200 is a wasteful number, since it uses less digits than its factorization.

131201302113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41453 (or 41442 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131201302113200 its reverse (2311203102131), we get a palindrome (133512505215331).

The spelling of 131201302113200 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred two million, one hundred thirteen thousand, two hundred".