22132401133311 has 64 divisors (see below), whose sum is σ = 38492406261760. Its totient is φ = 12303106018560.

The previous prime is 22132401133261. The next prime is 22132401133361. The reversal of 22132401133311 is 11333110423122.

22132401133311 is a `hidden beast` number, since 2 + 2 + 1 + 324 + 0 + 1 + 1 + 3 + 331 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22132401133261) and next prime (22132401133361).

It is not a de Polignac number, because 22132401133311 - 2¹⁰ = 22132401132287 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132401133361) 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, 39843006 + ... + 40394676.

It is an arithmetic number, because the mean of its divisors is an integer number (601443847840).

Almost surely, 2^{22132401133311} is an apocalyptic number.

22132401133311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22132401133311 is a deficient number, since it is larger than the sum of its proper divisors (16360005128449).

22132401133311 is a wasteful number, since it uses less digits than its factorization.

22132401133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557461 (or 557455 counting only the distinct ones).

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

Adding to 22132401133311 its reverse (11333110423122), we get a palindrome (33465511556433).

The spelling of 22132401133311 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred one million, one hundred thirty-three thousand, three hundred eleven".