130013010130000 has 100 divisors (see below), whose sum is σ = 315848821639428. Its totient is φ = 51827710720000.

The previous prime is 130013010129953. The next prime is 130013010130009. The reversal of 130013010130000 is 31010310031.

It is a happy number.

130013010130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 42242044374544 + 87770965755456 = 6499388^2 + 9368616^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013010130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19256521 + ... + 25116520.

Almost surely, 2^{130013010130000} is an apocalyptic number.

130013010130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013010130000 is an abundant number, since it is smaller than the sum of its proper divisors (185835811509428).

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

130013010130000 is an equidigital number, since it uses as much as digits as its factorization.

130013010130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44373362 (or 44373341 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 130013010130000 its reverse (31010310031), we get a palindrome (130044020440031).

The spelling of 130013010130000 in words is "one hundred thirty trillion, thirteen billion, ten million, one hundred thirty thousand".