313001310001 has 2 divisors, whose sum is σ = 313001310002. Its totient is φ = 313001310000.

The previous prime is 313001309993. The next prime is 313001310031. The reversal of 313001310001 is 100013100313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309981697600 + 3019612401 = 556760^2 + 54951^2 .

It is a cyclic number.

It is not a de Polignac number, because 313001310001 - 2³ = 313001309993 is a prime.

It is not a weakly prime, because it can be changed into another prime (313001310031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156500655000 + 156500655001.

It is an arithmetic number, because the mean of its divisors is an integer number (156500655001).

Almost surely, 2^313001310001 is an apocalyptic number.

It is an amenable number.

313001310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313001310001 is an equidigital number, since it uses as much as digits as its factorization.

313001310001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 313001310001 its reverse (100013100313), we get a palindrome (413014410314).

The spelling of 313001310001 in words is "three hundred thirteen billion, one million, three hundred ten thousand, one".