130315878000 has 1600 divisors, whose sum is σ = 607588540416. Its totient is φ = 26127360000.

The previous prime is 130315877981. The next prime is 130315878019. The reversal of 130315878000 is 878513031.

It is an interprime number because it is at equal distance from previous prime (130315877981) and next prime (130315878019).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 386693832 + ... + 386694168.

Almost surely, 2^130315878000 is an apocalyptic number.

130315878000 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 130315878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303794270208).

130315878000 is an abundant number, since it is smaller than the sum of its proper divisors (477272662416).

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

130315878000 is a wasteful number, since it uses less digits than its factorization.

130315878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 130315878000 in words is "one hundred thirty billion, three hundred fifteen million, eight hundred seventy-eight thousand".