313121415001 has 2 divisors, whose sum is σ = 313121415002. Its totient is φ = 313121415000.

The previous prime is 313121414933. The next prime is 313121415029. The reversal of 313121415001 is 100514121313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232251705625 + 80869709376 = 481925^2 + 284376^2 .

It is a cyclic number.

It is not a de Polignac number, because 313121415001 - 2¹⁹ = 313120890713 is a prime.

It is not a weakly prime, because it can be changed into another prime (313121415071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560707500 + 156560707501.

It is an arithmetic number, because the mean of its divisors is an integer number (156560707501).

Almost surely, 2^313121415001 is an apocalyptic number.

It is an amenable number.

313121415001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121415001 is an equidigital number, since it uses as much as digits as its factorization.

313121415001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 313121415001 its reverse (100514121313), we get a palindrome (413635536314).

The spelling of 313121415001 in words is "three hundred thirteen billion, one hundred twenty-one million, four hundred fifteen thousand, one".