130331520 has 384 divisors, whose sum is σ = 524141280. Its totient is φ = 29736960.

The previous prime is 130331519. The next prime is 130331561. The reversal of 130331520 is 25133031.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 130331493 and 130331502.

It is a congruent number.

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, 7666552 + ... + 7666568.

Almost surely, 2^130331520 is an apocalyptic number.

130331520 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 130331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262070640).

130331520 is an abundant number, since it is smaller than the sum of its proper divisors (393809760).

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

130331520 is a wasteful number, since it uses less digits than its factorization.

130331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130331520 is about 11416.2831079121. The cubic root of 130331520 is about 507.0099551049.

Adding to 130331520 its reverse (25133031), we get a palindrome (155464551).

It can be divided in two parts, 1303 and 31520, that added together give a palindrome (32823).

The spelling of 130331520 in words is "one hundred thirty million, three hundred thirty-one thousand, five hundred twenty".