131110311010320 has 240 divisors, whose sum is σ = 450579688470912. Its totient is φ = 34147559577600.

The previous prime is 131110311010223. The next prime is 131110311010321. The reversal of 131110311010320 is 23010113011131.

131110311010320 is a `hidden beast` number, since 1 + 3 + 11 + 10 + 311 + 0 + 10 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 131110311010293 and 131110311010302.

It is not an unprimeable number, because it can be changed into a prime (131110311010321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538613277 + ... + 538856643.

Almost surely, 2^{131110311010320} is an apocalyptic number.

131110311010320 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 131110311010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225289844235456).

131110311010320 is an abundant number, since it is smaller than the sum of its proper divisors (319469377460592).

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

131110311010320 is a wasteful number, since it uses less digits than its factorization.

131110311010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260830 (or 260821 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131110311010320 its reverse (23010113011131), we get a palindrome (154120424021451).

The spelling of 131110311010320 in words is "one hundred thirty-one trillion, one hundred ten billion, three hundred eleven million, ten thousand, three hundred twenty".