130132001300 has 288 divisors, whose sum is σ = 356677171200. Its totient is φ = 40180631040.

The previous prime is 130132001269. The next prime is 130132001327. The reversal of 130132001300 is 3100231031.

130132001300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52919471 + ... + 52921929.

It is an arithmetic number, because the mean of its divisors is an integer number (1238462400).

Almost surely, 2^130132001300 is an apocalyptic number.

130132001300 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 130132001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178338585600).

130132001300 is an abundant number, since it is smaller than the sum of its proper divisors (226545169900).

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

130132001300 is a wasteful number, since it uses less digits than its factorization.

130132001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130132001300 its reverse (3100231031), we get a palindrome (133232232331).

The spelling of 130132001300 in words is "one hundred thirty billion, one hundred thirty-two million, one thousand, three hundred".