130913280 has 176 divisors, whose sum is σ = 465733440. Its totient is φ = 34873344.

The previous prime is 130913269. The next prime is 130913297. The reversal of 130913280 is 82319031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137767 + ... + 138713.

Almost surely, 2^130913280 is an apocalyptic number.

130913280 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 130913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232866720).

130913280 is an abundant number, since it is smaller than the sum of its proper divisors (334820160).

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

130913280 is an equidigital number, since it uses as much as digits as its factorization.

130913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130913280 is about 11441.7341342997. The cubic root of 130913280 is about 507.7632145083.

The spelling of 130913280 in words is "one hundred thirty million, nine hundred thirteen thousand, two hundred eighty".