313041024001 has 6 divisors (see below), whose sum is σ = 324207767702. Its totient is φ = 302246505120.

The previous prime is 313041023989. The next prime is 313041024013. The reversal of 313041024001 is 100420140313.

It is an interprime number because it is at equal distance from previous prime (313041023989) and next prime (313041024013).

It can be written as a sum of positive squares in 3 ways, for example, as 2430983025 + 310610040976 = 49305^2 + 557324^2 .

It is not a de Polignac number, because 313041024001 - 2¹⁷ = 313040892929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313041024001.

It is not an unprimeable number, because it can be changed into a prime (313041024041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186111540 + ... + 186113221.

Almost surely, 2^313041024001 is an apocalyptic number.

It is an amenable number.

313041024001 is a deficient number, since it is larger than the sum of its proper divisors (11166743701).

313041024001 is an equidigital number, since it uses as much as digits as its factorization.

313041024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372224819 (or 372224790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 313041024001 its reverse (100420140313), we get a palindrome (413461164314).

The spelling of 313041024001 in words is "three hundred thirteen billion, forty-one million, twenty-four thousand, one".