313123629 has 128 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 142331904.

The previous prime is 313123619. The next prime is 313123631. The reversal of 313123629 is 926321313.

It is not a de Polignac number, because 313123629 - 2⁵ = 313123597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313123596 and 313123605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123619) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4673454 + ... + 4673520.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^313123629 is an apocalyptic number.

313123629 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

313123629 is a deficient number, since it is larger than the sum of its proper divisors (279096531).

313123629 is a wasteful number, since it uses less digits than its factorization.

313123629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 5832, while the sum is 30.

The square root of 313123629 is about 17695.2996301278. The cubic root of 313123629 is about 679.0555147460.

The spelling of 313123629 in words is "three hundred thirteen million, one hundred twenty-three thousand, six hundred twenty-nine".