130813722624 has 408 divisors, whose sum is σ = 392986509312. Its totient is φ = 38645268480.

The previous prime is 130813722583. The next prime is 130813722631. The reversal of 130813722624 is 426227318031.

It is a super-2 number, since 2×130813722624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030029249 + ... + 1030029375.

Almost surely, 2^130813722624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130813722624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196493254656).

130813722624 is an abundant number, since it is smaller than the sum of its proper divisors (262172786688).

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

130813722624 is an equidigital number, since it uses as much as digits as its factorization.

130813722624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 130813722624 in words is "one hundred thirty billion, eight hundred thirteen million, seven hundred twenty-two thousand, six hundred twenty-four".