130020130002400 has 144 divisors (see below), whose sum is σ = 348993762969600. Its totient is φ = 46907763033600.

The previous prime is 130020130002383. The next prime is 130020130002407. The reversal of 130020130002400 is 4200031020031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130020130002407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57051750 + ... + 59286949.

It is an arithmetic number, because the mean of its divisors is an integer number (2423567798400).

Almost surely, 2^{130020130002400} is an apocalyptic number.

130020130002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130020130002400 is an abundant number, since it is smaller than the sum of its proper divisors (218973632967200).

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

130020130002400 is a wasteful number, since it uses less digits than its factorization.

130020130002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116338857 (or 116338844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130020130002400 its reverse (4200031020031), we get a palindrome (134220161022431).

The spelling of 130020130002400 in words is "one hundred thirty trillion, twenty billion, one hundred thirty million, two thousand, four hundred".