131130130320 has 240 divisors, whose sum is σ = 506498653440. Its totient is φ = 29781513216.

The previous prime is 131130130273. The next prime is 131130130367. The reversal of 131130130320 is 23031031131.

It is a happy number.

131130130320 is a `hidden beast` number, since 1 + 3 + 11 + 301 + 30 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (131130130273) and next prime (131130130367).

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

It is a super-2 number, since 2×131130130320² (a number of 23 digits) contains 22 as substring.

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 = 131130130293 and 131130130302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708421 + ... + 874139.

It is an arithmetic number, because the mean of its divisors is an integer number (2110411056).

Almost surely, 2^131130130320 is an apocalyptic number.

131130130320 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 131130130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253249326720).

131130130320 is an abundant number, since it is smaller than the sum of its proper divisors (375368523120).

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

131130130320 is a wasteful number, since it uses less digits than its factorization.

131130130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165902 (or 165893 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131130130320 its reverse (23031031131), we get a palindrome (154161161451).

The spelling of 131130130320 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred thirty thousand, three hundred twenty".