130321400 has 96 divisors (see below), whose sum is σ = 339688080. Its totient is φ = 46080000.

The previous prime is 130321397. The next prime is 130321403. The reversal of 130321400 is 4123031.

It is an interprime number because it is at equal distance from previous prime (130321397) and next prime (130321403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130321403) 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, 80600 + ... + 82200.

Almost surely, 2^130321400 is an apocalyptic number.

130321400 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 130321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169844040).

130321400 is an abundant number, since it is smaller than the sum of its proper divisors (209366680).

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

130321400 is a wasteful number, since it uses less digits than its factorization.

130321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1656 counting only the distinct ones).

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

The square root of 130321400 is about 11415.8398727382. The cubic root of 130321400 is about 506.9968319720.

Adding to 130321400 its reverse (4123031), we get a palindrome (134444431).

It can be divided in two parts, 130321 and 400, that multiplied together give a square (52128400 = 7220²).

The spelling of 130321400 in words is "one hundred thirty million, three hundred twenty-one thousand, four hundred".