2201312002013 has 2 divisors, whose sum is σ = 2201312002014. Its totient is φ = 2201312002012.

The previous prime is 2201312001997. The next prime is 2201312002051. The reversal of 2201312002013 is 3102002131022.

2201312002013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1521764025604 + 679547976409 = 1233598^2 + 824347^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201312002013 - 2⁴ = 2201312001997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201312001982 and 2201312002000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201312062013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100656001006 + 1100656001007.

It is an arithmetic number, because the mean of its divisors is an integer number (1100656001007).

Almost surely, 2^{2201312002013} is an apocalyptic number.

It is an amenable number.

2201312002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201312002013 is an equidigital number, since it uses as much as digits as its factorization.

2201312002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2201312002013 its reverse (3102002131022), we get a palindrome (5303314133035).

The spelling of 2201312002013 in words is "two trillion, two hundred one billion, three hundred twelve million, two thousand, thirteen".