122133313 has 2 divisors, whose sum is σ = 122133314. Its totient is φ = 122133312.

The previous prime is 122133281. The next prime is 122133343. The reversal of 122133313 is 313331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112720689 + 9412624 = 10617^2 + 3068^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133313 - 2⁵ = 122133281 is a prime.

It is a super-2 number, since 2×122133313² = 29833092288711938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122133343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066656 + 61066657.

It is an arithmetic number, because the mean of its divisors is an integer number (61066657).

Almost surely, 2^122133313 is an apocalyptic number.

It is an amenable number.

122133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133313 is an equidigital number, since it uses as much as digits as its factorization.

122133313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 19.

The square root of 122133313 is about 11051.3941654436. The cubic root of 122133313 is about 496.1481534209.

Adding to 122133313 its reverse (313331221), we get a palindrome (435464534).

The spelling of 122133313 in words is "one hundred twenty-two million, one hundred thirty-three thousand, three hundred thirteen".