22312233121311 has 128 divisors (see below), whose sum is σ = 39197916426240. Its totient is φ = 12277637627904.

The previous prime is 22312233121253. The next prime is 22312233121331. The reversal of 22312233121311 is 11312133221322.

22312233121311 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 223 + 3 + 121 + 311 = 666.

It is not a de Polignac number, because 22312233121311 - 2⁷ = 22312233121183 is a prime.

It is a super-3 number, since 3×22312233121311³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312233121331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1377885631 + ... + 1377901823.

It is an arithmetic number, because the mean of its divisors is an integer number (306233722080).

Almost surely, 2^{22312233121311} is an apocalyptic number.

22312233121311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22312233121311 is a deficient number, since it is larger than the sum of its proper divisors (16885683304929).

22312233121311 is a wasteful number, since it uses less digits than its factorization.

22312233121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18262 (or 18256 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 22312233121311 its reverse (11312133221322), we get a palindrome (33624366342633).

The spelling of 22312233121311 in words is "twenty-two trillion, three hundred twelve billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred eleven".