122333123100213 has 80 divisors (see below), whose sum is σ = 192968753725440. Its totient is φ = 77019653066400.

The previous prime is 122333123100179. The next prime is 122333123100217. The reversal of 122333123100213 is 312001321333221.

122333123100213 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 331 + 2 + 310 + 0 + 2 + 13 = 666.

It is not a de Polignac number, because 122333123100213 - 2⁹ = 122333123099701 is a prime.

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 (122333123100217) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7585601356 + ... + 7585617482.

It is an arithmetic number, because the mean of its divisors is an integer number (2412109421568).

Almost surely, 2^{122333123100213} is an apocalyptic number.

It is an amenable number.

122333123100213 is a deficient number, since it is larger than the sum of its proper divisors (70635630625227).

122333123100213 is a wasteful number, since it uses less digits than its factorization.

122333123100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31380 (or 31371 counting only the distinct ones).

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

Adding to 122333123100213 its reverse (312001321333221), we get a palindrome (434334444433434).

The spelling of 122333123100213 in words is "one hundred twenty-two trillion, three hundred thirty-three billion, one hundred twenty-three million, one hundred thousand, two hundred thirteen".