131201032313100 has 72 divisors (see below), whose sum is σ = 389868004520848. Its totient is φ = 34041348921600.

The previous prime is 131201032313041. The next prime is 131201032313101. The reversal of 131201032313100 is 1313230102131.

It is a happy number.

131201032313100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131201032313100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131201032313101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5909945311 + ... + 5909967510.

Almost surely, 2^{131201032313100} is an apocalyptic number.

131201032313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201032313100 is an abundant number, since it is smaller than the sum of its proper divisors (258666972207748).

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

131201032313100 is a wasteful number, since it uses less digits than its factorization.

131201032313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819912875 (or 11819912868 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131201032313100 its reverse (1313230102131), we get a palindrome (132514262415231).

The spelling of 131201032313100 in words is "one hundred thirty-one trillion, two hundred one billion, thirty-two million, three hundred thirteen thousand, one hundred".