323013013200 has 90 divisors (see below), whose sum is σ = 1120944894134. Its totient is φ = 86136802560.

The previous prime is 323013013133. The next prime is 323013013217. The reversal of 323013013200 is 2310310323.

323013013200 is a `hidden beast` number, since 32 + 301 + 301 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 77179507344 + 245833505856 = 277812^2 + 495816^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44859319 + ... + 44866518.

Almost surely, 2^323013013200 is an apocalyptic number.

323013013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323013013200 is an abundant number, since it is smaller than the sum of its proper divisors (797931880934).

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

323013013200 is a wasteful number, since it uses less digits than its factorization.

323013013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89725861 (or 89725847 counting only the distinct ones).

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

Adding to 323013013200 its reverse (2310310323), we get a palindrome (325323323523).

The spelling of 323013013200 in words is "three hundred twenty-three billion, thirteen million, thirteen thousand, two hundred".