313424001 has 36 divisors (see below), whose sum is σ = 499508100. Its totient is φ = 189235200.

The previous prime is 313423991. The next prime is 313424009. The reversal of 313424001 is 100424313.

It can be written as a sum of positive squares in 2 ways, for example, as 242611776 + 70812225 = 15576^2 + 8415^2 .

It is not a de Polignac number, because 313424001 - 2⁶ = 313423937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313424009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488641 + ... + 489281.

It is an arithmetic number, because the mean of its divisors is an integer number (13875225).

Almost surely, 2^313424001 is an apocalyptic number.

It is an amenable number.

313424001 is a deficient number, since it is larger than the sum of its proper divisors (186084099).

313424001 is a wasteful number, since it uses less digits than its factorization.

313424001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313424001 is about 17703.7849343015. The cubic root of 313424001 is about 679.2725792513.

Adding to 313424001 its reverse (100424313), we get a palindrome (413848314).

The spelling of 313424001 in words is "three hundred thirteen million, four hundred twenty-four thousand, one".