21233300311311 has 64 divisors (see below), whose sum is σ = 32689570443264. Its totient is φ = 12133389382400.

The previous prime is 21233300311309. The next prime is 21233300311313. The reversal of 21233300311311 is 11311300333212.

It is an interprime number because it is at equal distance from previous prime (21233300311309) and next prime (21233300311313).

It is not a de Polignac number, because 21233300311311 - 2¹ = 21233300311309 is a prime.

It is a super-2 number, since 2×21233300311311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233300311313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27527251 + ... + 28288091.

It is an arithmetic number, because the mean of its divisors is an integer number (510774538176).

Almost surely, 2^{21233300311311} is an apocalyptic number.

21233300311311 is a deficient number, since it is larger than the sum of its proper divisors (11456270131953).

21233300311311 is a wasteful number, since it uses less digits than its factorization.

21233300311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761404.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 21233300311311 its reverse (11311300333212), we get a palindrome (32544600644523).

The spelling of 21233300311311 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred million, three hundred eleven thousand, three hundred eleven".