2002210011013 has 2 divisors, whose sum is σ = 2002210011014. Its totient is φ = 2002210011012.

The previous prime is 2002210010893. The next prime is 2002210011083. The reversal of 2002210011013 is 3101100122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1510974433089 + 491235577924 = 1229217^2 + 700882^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002210011013 - 2²⁹ = 2001673140101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002210010984 and 2002210011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002210011083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001105005506 + 1001105005507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105005507).

Almost surely, 2^{2002210011013} is an apocalyptic number.

It is an amenable number.

2002210011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002210011013 is an equidigital number, since it uses as much as digits as its factorization.

2002210011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2002210011013 its reverse (3101100122002), we get a palindrome (5103310133015).

The spelling of 2002210011013 in words is "two trillion, two billion, two hundred ten million, eleven thousand, thirteen".