313012021001 has 2 divisors, whose sum is σ = 313012021002. Its totient is φ = 313012021000.

The previous prime is 313012020989. The next prime is 313012021019. The reversal of 313012021001 is 100120210313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271387860601 + 41624160400 = 520949^2 + 204020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313012021001 is a prime.

It is a super-2 number, since 2×313012021001² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313012021051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506010500 + 156506010501.

It is an arithmetic number, because the mean of its divisors is an integer number (156506010501).

Almost surely, 2^313012021001 is an apocalyptic number.

It is an amenable number.

313012021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313012021001 is an equidigital number, since it uses as much as digits as its factorization.

313012021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 313012021001 its reverse (100120210313), we get a palindrome (413132231314).

The spelling of 313012021001 in words is "three hundred thirteen billion, twelve million, twenty-one thousand, one".