131010400201320 has 96 divisors (see below), whose sum is σ = 425840271990120. Its totient is φ = 34931473175040.

The previous prime is 131010400201283. The next prime is 131010400201333. The reversal of 131010400201320 is 23102004010131.

131010400201320 is a `hidden beast` number, since 1 + 3 + 101 + 0 + 40 + 0 + 201 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86501941612164 + 44508458589156 = 9300642^2 + 6671466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131010400201293 and 131010400201302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21414519 + ... + 26844038.

Almost surely, 2^{131010400201320} is an apocalyptic number.

131010400201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010400201320 is an abundant number, since it is smaller than the sum of its proper divisors (294829871788800).

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

131010400201320 is a wasteful number, since it uses less digits than its factorization.

131010400201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48266115 (or 48266108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131010400201320 its reverse (23102004010131), we get a palindrome (154112404211451).

The spelling of 131010400201320 in words is "one hundred thirty-one trillion, ten billion, four hundred million, two hundred one thousand, three hundred twenty".