130012042000 has 80 divisors (see below), whose sum is σ = 314740091952. Its totient is φ = 51943449600.

The previous prime is 130012041983. The next prime is 130012042019. The reversal of 130012042000 is 240210031.

It can be written as a sum of positive squares in 8 ways, for example, as 40309395984 + 89702646016 = 200772^2 + 299504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676074 + ... + 1751926.

Almost surely, 2^130012042000 is an apocalyptic number.

130012042000 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 130012042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157370045976).

130012042000 is an abundant number, since it is smaller than the sum of its proper divisors (184728049952).

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

130012042000 is an equidigital number, since it uses as much as digits as its factorization.

130012042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76733 (or 76717 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 130012042000 its reverse (240210031), we get a palindrome (130252252031).

The spelling of 130012042000 in words is "one hundred thirty billion, twelve million, forty-two thousand".