2002110322013 has 2 divisors, whose sum is σ = 2002110322014. Its totient is φ = 2002110322012.

The previous prime is 2002110321997. The next prime is 2002110322027. The reversal of 2002110322013 is 3102230112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1329969417049 + 672140904964 = 1153243^2 + 819842^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002110322013 - 2⁴ = 2002110321997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002110321982 and 2002110322000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002170322013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055161006 + 1001055161007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055161007).

Almost surely, 2^{2002110322013} is an apocalyptic number.

It is an amenable number.

2002110322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002110322013 is an equidigital number, since it uses as much as digits as its factorization.

2002110322013 is an evil number, because the sum of its binary digits is even.

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

Adding to 2002110322013 its reverse (3102230112002), we get a palindrome (5104340434015).

The spelling of 2002110322013 in words is "two trillion, two billion, one hundred ten million, three hundred twenty-two thousand, thirteen".