122331313 has 8 divisors (see below), whose sum is σ = 132426728. Its totient is φ = 112333824.

The previous prime is 122331299. The next prime is 122331323. The reversal of 122331313 is 313133221.

It can be written as a sum of positive squares in 4 ways, for example, as 1595169 + 120736144 = 1263^2 + 10988^2 .

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 122331313 - 2¹⁷ = 122200241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122331323) 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, 21870 + ... + 26887.

It is an arithmetic number, because the mean of its divisors is an integer number (16553341).

Almost surely, 2^122331313 is an apocalyptic number.

122331313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122331313 is a deficient number, since it is larger than the sum of its proper divisors (10095415).

122331313 is a wasteful number, since it uses less digits than its factorization.

122331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48963.

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

The square root of 122331313 is about 11060.3486834729. The cubic root of 122331313 is about 496.4161237039.

Adding to 122331313 its reverse (313133221), we get a palindrome (435464534).

The spelling of 122331313 in words is "one hundred twenty-two million, three hundred thirty-one thousand, three hundred thirteen".