21330101012233 has 72 divisors (see below), whose sum is σ = 24802700237640. Its totient is φ = 18329809305600.

The previous prime is 21330101012221. The next prime is 21330101012243. The reversal of 21330101012233 is 33221010103312.

It can be written as a sum of positive squares in 36 ways, for example, as 3155124455289 + 18174976556944 = 1776267^2 + 4263212^2 .

It is a de Polignac number, because none of the positive numbers 2^k-21330101012233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21330101012243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8825030241 + ... + 8825032657.

It is an arithmetic number, because the mean of its divisors is an integer number (344481947745).

Almost surely, 2^{21330101012233} is an apocalyptic number.

It is an amenable number.

21330101012233 is a deficient number, since it is larger than the sum of its proper divisors (3472599225407).

21330101012233 is a wasteful number, since it uses less digits than its factorization.

21330101012233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21330101012233 its reverse (33221010103312), we get a palindrome (54551111115545).

The spelling of 21330101012233 in words is "twenty-one trillion, three hundred thirty billion, one hundred one million, twelve thousand, two hundred thirty-three".