22132112133031 has 8 divisors (see below), whose sum is σ = 22268455453440. Its totient is φ = 21995775684792.

The previous prime is 22132112133023. The next prime is 22132112133049. The reversal of 22132112133031 is 13033121123122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22132112133031 - 2³ = 22132112133023 is a prime.

It is a super-3 number, since 3×22132112133031³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22132112132987 and 22132112133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132112133011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4819260 + ... + 8215198.

It is an arithmetic number, because the mean of its divisors is an integer number (2783556931680).

Almost surely, 2^{22132112133031} is an apocalyptic number.

22132112133031 is a deficient number, since it is larger than the sum of its proper divisors (136343320409).

22132112133031 is a wasteful number, since it uses less digits than its factorization.

22132112133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436085.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 22132112133031 its reverse (13033121123122), we get a palindrome (35165233256153).

The spelling of 22132112133031 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred twelve million, one hundred thirty-three thousand, thirty-one".