130401320 has 128 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 42301440.

The previous prime is 130401307. The next prime is 130401379. The reversal of 130401320 is 23104031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130401295 and 130401304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424607 + ... + 424913.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 2^130401320 is an apocalyptic number.

130401320 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 130401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

130401320 is an abundant number, since it is smaller than the sum of its proper divisors (223527640).

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

130401320 is a wasteful number, since it uses less digits than its factorization.

130401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130401320 is about 11419.3397357290. The cubic root of 130401320 is about 507.1004499166.

Adding to 130401320 its reverse (23104031), we get a palindrome (153505351).

The spelling of 130401320 in words is "one hundred thirty million, four hundred one thousand, three hundred twenty".