323313013200100 has 288 divisors, whose sum is σ = 875650187301120. Its totient is φ = 100664475648000.

The previous prime is 323313013200071. The next prime is 323313013200101. The reversal of 323313013200100 is 1002310313323.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (323313013200101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59031038562 + ... + 59031044038.

It is an arithmetic number, because the mean of its divisors is an integer number (3040452039240).

Almost surely, 2^{323313013200100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323313013200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437825093650560).

323313013200100 is an abundant number, since it is smaller than the sum of its proper divisors (552337174101020).

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

323313013200100 is a wasteful number, since it uses less digits than its factorization.

323313013200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 323313013200100 its reverse (1002310313323), we get a palindrome (324315323513423).

The spelling of 323313013200100 in words is "three hundred twenty-three trillion, three hundred thirteen billion, thirteen million, two hundred thousand, one hundred".