122032313 has 8 divisors (see below), whose sum is σ = 131531400. Its totient is φ = 112549248.

The previous prime is 122032303. The next prime is 122032321. The reversal of 122032313 is 313230221.

It can be written as a sum of positive squares in 4 ways, for example, as 3396649 + 118635664 = 1843^2 + 10892^2 .

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 122032313 - 2¹⁸ = 121770169 is a prime.

It is a super-2 number, since 2×122032313² = 29783770832259938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122032291 and 122032300.

It is not an unprimeable number, because it can be changed into a prime (122032303) 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, 15293 + ... + 21861.

It is an arithmetic number, because the mean of its divisors is an integer number (16441425).

Almost surely, 2^122032313 is an apocalyptic number.

122032313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122032313 is a deficient number, since it is larger than the sum of its proper divisors (9499087).

122032313 is a wasteful number, since it uses less digits than its factorization.

122032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 122032313 is about 11046.8236611254. The cubic root of 122032313 is about 496.0113499506.

Adding to 122032313 its reverse (313230221), we get a palindrome (435262534).

It can be divided in two parts, 1220 and 32313, that added together give a palindrome (33533).

The spelling of 122032313 in words is "one hundred twenty-two million, thirty-two thousand, three hundred thirteen".