130321000 has 80 divisors (see below), whose sum is σ = 321892740. Its totient is φ = 49384800.

The previous prime is 130320961. The next prime is 130321033. The reversal of 130321000 is 123031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 88096996 + 42224004 = 9386^2 + 6498^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6858991 + ... + 6859009.

Almost surely, 2^130321000 is an apocalyptic number.

130321000 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 130321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160946370).

130321000 is an abundant number, since it is smaller than the sum of its proper divisors (191571740).

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

130321000 is an frugal number, since it uses more digits than its factorization.

130321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130321000 is about 11415.8223532078. The cubic root of 130321000 is about 506.9963132572.

Multiplying 130321000 by its sum of digits (10), we get a 4-th power (1303210000 = 190⁴).

130321000 divided by its sum of digits (10) gives a square (13032100 = 3610²).

Adding to 130321000 its reverse (123031), we get a palindrome (130444031).

The spelling of 130321000 in words is "one hundred thirty million, three hundred twenty-one thousand".