2113401333013 has 2 divisors, whose sum is σ = 2113401333014. Its totient is φ = 2113401333012.

The previous prime is 2113401332983. The next prime is 2113401333067. The reversal of 2113401333013 is 3103331043112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1672927535889 + 440473797124 = 1293417^2 + 663682^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113401333013 - 2⁵ = 2113401332981 is a prime.

It is a super-2 number, since 2×2113401333013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113401333083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056700666506 + 1056700666507.

It is an arithmetic number, because the mean of its divisors is an integer number (1056700666507).

Almost surely, 2^{2113401333013} is an apocalyptic number.

It is an amenable number.

2113401333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113401333013 is an equidigital number, since it uses as much as digits as its factorization.

2113401333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2113401333013 its reverse (3103331043112), we get a palindrome (5216732376125).

The spelling of 2113401333013 in words is "two trillion, one hundred thirteen billion, four hundred one million, three hundred thirty-three thousand, thirteen".