130012013000 has 64 divisors (see below), whose sum is σ = 304369228800. Its totient is φ = 51980683200.

The previous prime is 130012012981. The next prime is 130012013017. The reversal of 130012013000 is 310210031.

130012013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2209967 + ... + 2268033.

It is an arithmetic number, because the mean of its divisors is an integer number (4755769200).

Almost surely, 2^130012013000 is an apocalyptic number.

130012013000 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 130012013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152184614400).

130012013000 is an abundant number, since it is smaller than the sum of its proper divisors (174357215800).

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

130012013000 is a wasteful number, since it uses less digits than its factorization.

130012013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60327 (or 60313 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 130012013000 its reverse (310210031), we get a palindrome (130322223031).

The spelling of 130012013000 in words is "one hundred thirty billion, twelve million, thirteen thousand".