130330132400 has 120 divisors (see below), whose sum is σ = 337456672224. Its totient is φ = 48085862400.

The previous prime is 130330132379. The next prime is 130330132421. The reversal of 130330132400 is 4231033031.

It is an interprime number because it is at equal distance from previous prime (130330132379) and next prime (130330132421).

It is a super-2 number, since 2×130330132400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7515740 + ... + 7533060.

Almost surely, 2^130330132400 is an apocalyptic number.

130330132400 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 130330132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168728336112).

130330132400 is an abundant number, since it is smaller than the sum of its proper divisors (207126539824).

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

130330132400 is a wasteful number, since it uses less digits than its factorization.

130330132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18799 (or 18788 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130330132400 its reverse (4231033031), we get a palindrome (134561165431).

The spelling of 130330132400 in words is "one hundred thirty billion, three hundred thirty million, one hundred thirty-two thousand, four hundred".