2001313013213 has 2 divisors, whose sum is σ = 2001313013214. Its totient is φ = 2001313013212.

The previous prime is 2001313013209. The next prime is 2001313013239. The reversal of 2001313013213 is 3123103131002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1295346725689 + 705966287524 = 1138133^2 + 840218^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001313013213 - 2² = 2001313013209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003313013213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000656506606 + 1000656506607.

It is an arithmetic number, because the mean of its divisors is an integer number (1000656506607).

Almost surely, 2^{2001313013213} is an apocalyptic number.

It is an amenable number.

2001313013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001313013213 is an equidigital number, since it uses as much as digits as its factorization.

2001313013213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2001313013213 its reverse (3123103131002), we get a palindrome (5124416144215).

The spelling of 2001313013213 in words is "two trillion, one billion, three hundred thirteen million, thirteen thousand, two hundred thirteen".