122122011013133 has 8 divisors (see below), whose sum is σ = 122190529438200. Its totient is φ = 122053502039040.

The previous prime is 122122011013127. The next prime is 122122011013153. The reversal of 122122011013133 is 331310110221221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20765501658724 + 101356509354409 = 4556918^2 + 10067597^2 .

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 122122011013133 - 2¹⁰ = 122122011012109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122122011013099 and 122122011013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122011013153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23567543 + ... + 28278491.

It is an arithmetic number, because the mean of its divisors is an integer number (15273816179775).

Almost surely, 2^{122122011013133} is an apocalyptic number.

It is an amenable number.

122122011013133 is a deficient number, since it is larger than the sum of its proper divisors (68518425067).

122122011013133 is a wasteful number, since it uses less digits than its factorization.

122122011013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725487.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 122122011013133 its reverse (331310110221221), we get a palindrome (453432121234354).

The spelling of 122122011013133 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, eleven million, thirteen thousand, one hundred thirty-three".