323303121322100 has 72 divisors (see below), whose sum is σ = 708808249957080. Its totient is φ = 127986627870720.

The previous prime is 323303121322099. The next prime is 323303121322123. The reversal of 323303121322100 is 1223121303323.

It can be written as a sum of positive squares in 12 ways, for example, as 1642770270436 + 321660351051664 = 1281706^2 + 17934892^2 .

It is a super-2 number, since 2×323303121322100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323303121322100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1573324562 + ... + 1573530038.

Almost surely, 2^{323303121322100} is an apocalyptic number.

It is an amenable number.

323303121322100 is an abundant number, since it is smaller than the sum of its proper divisors (385505128634980).

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

323303121322100 is a wasteful number, since it uses less digits than its factorization.

323303121322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367797 (or 367790 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 323303121322100 its reverse (1223121303323), we get a palindrome (324526242625423).

The spelling of 323303121322100 in words is "three hundred twenty-three trillion, three hundred three billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred".