131201031100320 has 96 divisors (see below), whose sum is σ = 459203608866240. Its totient is φ = 34986941625600.

The previous prime is 131201031100303. The next prime is 131201031100331. The reversal of 131201031100320 is 23001130102131.

131201031100320 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 10 + 311 + 0 + 0 + 320 = 666.

131201031100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 131201031100293 and 131201031100302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15185300206 + ... + 15185308845.

It is an arithmetic number, because the mean of its divisors is an integer number (4783370925690).

Almost surely, 2^{131201031100320} is an apocalyptic number.

131201031100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201031100320 is an abundant number, since it is smaller than the sum of its proper divisors (328002577765920).

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

131201031100320 is a wasteful number, since it uses less digits than its factorization.

131201031100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370609075 (or 30370609061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131201031100320 its reverse (23001130102131), we get a palindrome (154202161202451).

The spelling of 131201031100320 in words is "one hundred thirty-one trillion, two hundred one billion, thirty-one million, one hundred thousand, three hundred twenty".