2122332113133 has 16 divisors (see below), whose sum is σ = 3154437415360. Its totient is φ = 1410279313968.

The previous prime is 2122332113131. The next prime is 2122332113137. The reversal of 2122332113133 is 3313112332212.

2122332113133 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 332 + 11 + 313 + 3 = 666.

It is not a de Polignac number, because 2122332113133 - 2¹ = 2122332113131 is a prime.

It is a super-2 number, since 2×2122332113133² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122332113097 and 2122332113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122332113131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128012710 + ... + 128029287.

It is an arithmetic number, because the mean of its divisors is an integer number (197152338460).

Almost surely, 2^{2122332113133} is an apocalyptic number.

It is an amenable number.

2122332113133 is a deficient number, since it is larger than the sum of its proper divisors (1032105302227).

2122332113133 is a wasteful number, since it uses less digits than its factorization.

2122332113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256042313 (or 256042307 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2122332113133 its reverse (3313112332212), we get a palindrome (5435444445345).

The spelling of 2122332113133 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred thirty-three".