123313121 has 12 divisors (see below), whose sum is σ = 134053392. Its totient is φ = 113348928.

The previous prime is 123313109. The next prime is 123313129. The reversal of 123313121 is 121313321.

123313121 = 913² + 914² + ... + 1041².

It is not a de Polignac number, because 123313121 - 2¹⁴ = 123296737 is a prime.

It is a super-2 number, since 2×123313121² = 30412251621521282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123313121.

It is not an unprimeable number, because it can be changed into a prime (123313129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7466 + ... + 17388.

It is an arithmetic number, because the mean of its divisors is an integer number (11171116).

Almost surely, 2^123313121 is an apocalyptic number.

It is an amenable number.

123313121 is a deficient number, since it is larger than the sum of its proper divisors (10740271).

123313121 is an equidigital number, since it uses as much as digits as its factorization.

123313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9983 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 123313121 is about 11104.6441185659. The cubic root of 123313121 is about 497.7406339077.

Adding to 123313121 its reverse (121313321), we get a palindrome (244626442).

It can be divided in two parts, 12 and 3313121, that added together give a palindrome (3313133).

The spelling of 123313121 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred twenty-one".