900321323301233 has 48 divisors (see below), whose sum is σ = 974856908699856. Its totient is φ = 828524674867200.

The previous prime is 900321323301163. The next prime is 900321323301263. The reversal of 900321323301233 is 332103323123009.

900321323301233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3390282577984 + 896931040723249 = 1841272^2 + 29948807^2 .

It is not a de Polignac number, because 900321323301233 - 2¹⁴ = 900321323284849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 900321323301193 and 900321323301202.

It is not an unprimeable number, because it can be changed into a prime (900321323301263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31664647385 + ... + 31664675817.

It is an arithmetic number, because the mean of its divisors is an integer number (20309518931247).

Almost surely, 2^{900321323301233} is an apocalyptic number.

It is an amenable number.

900321323301233 is a deficient number, since it is larger than the sum of its proper divisors (74535585398623).

900321323301233 is a wasteful number, since it uses less digits than its factorization.

900321323301233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31394 (or 31311 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 35.

The spelling of 900321323301233 in words is "nine hundred trillion, three hundred twenty-one billion, three hundred twenty-three million, three hundred one thousand, two hundred thirty-three".