130319280000 has 2400 divisors, whose sum is σ = 635024039760. Its totient is φ = 25878528000.

The previous prime is 130319279989. The next prime is 130319280029. The reversal of 130319280000 is 82913031.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×130319280000² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 7665839992 + ... + 7665840008.

Almost surely, 2^130319280000 is an apocalyptic number.

130319280000 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 130319280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317512019880).

130319280000 is an abundant number, since it is smaller than the sum of its proper divisors (504704759760).

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

130319280000 is an equidigital number, since it uses as much as digits as its factorization.

130319280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

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

The spelling of 130319280000 in words is "one hundred thirty billion, three hundred nineteen million, two hundred eighty thousand".