313120401 has 16 divisors (see below), whose sum is σ = 459483840. Its totient is φ = 188088320.

The previous prime is 313120397. The next prime is 313120417. The reversal of 313120401 is 104021313.

It is a cyclic number.

It is not a de Polignac number, because 313120401 - 2² = 313120397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313120421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38256 + ... + 45713.

It is an arithmetic number, because the mean of its divisors is an integer number (28717740).

Almost surely, 2^313120401 is an apocalyptic number.

It is an amenable number.

313120401 is a deficient number, since it is larger than the sum of its proper divisors (146363439).

313120401 is a wasteful number, since it uses less digits than its factorization.

313120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84096.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313120401 is about 17695.2084192303. The cubic root of 313120401 is about 679.0531812707.

Adding to 313120401 its reverse (104021313), we get a palindrome (417141714).

It can be divided in two parts, 3131 and 20401, that added together give a palindrome (23532).

The spelling of 313120401 in words is "three hundred thirteen million, one hundred twenty thousand, four hundred one".