122123313133 has 8 divisors (see below), whose sum is σ = 122667545880. Its totient is φ = 121579176000.

The previous prime is 122123313101. The next prime is 122123313163. The reversal of 122123313133 is 331313321221.

It can be written as a sum of positive squares in 4 ways, for example, as 76230105604 + 45893207529 = 276098^2 + 214227^2 .

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 122123313133 - 2⁵ = 122123313101 is a prime.

It is a super-2 number, since 2×122123313133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122123313098 and 122123313107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123313163) 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, 4124883 + ... + 4154383.

It is an arithmetic number, because the mean of its divisors is an integer number (15333443235).

Almost surely, 2^122123313133 is an apocalyptic number.

It is an amenable number.

122123313133 is a deficient number, since it is larger than the sum of its proper divisors (544232747).

122123313133 is a wasteful number, since it uses less digits than its factorization.

122123313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47807.

The product of its digits is 1944, while the sum is 25.

Adding to 122123313133 its reverse (331313321221), we get a palindrome (453436634354).

The spelling of 122123313133 in words is "one hundred twenty-two billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred thirty-three".