322130013300 has 108 divisors (see below), whose sum is σ = 1010156306796. Its totient is φ = 85862400000.

The previous prime is 322130013299. The next prime is 322130013301. The reversal of 322130013300 is 3310031223.

322130013300 is a `hidden beast` number, since 32 + 2 + 1 + 300 + 1 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (322130013299) and next prime (322130013301).

It can be written as a sum of positive squares in 6 ways, for example, as 50309592804 + 271820420496 = 224298^2 + 521364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322130013301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1933300 + ... + 2093300.

It is an arithmetic number, because the mean of its divisors is an integer number (9353299137).

Almost surely, 2^322130013300 is an apocalyptic number.

322130013300 is a gapful number since it is divisible by the number (30) 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 322130013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505078153398).

322130013300 is an abundant number, since it is smaller than the sum of its proper divisors (688026293496).

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

322130013300 is a wasteful number, since it uses less digits than its factorization.

322130013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162258 (or 162248 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 322130013300 its reverse (3310031223), we get a palindrome (325440044523).

The spelling of 322130013300 in words is "three hundred twenty-two billion, one hundred thirty million, thirteen thousand, three hundred".