2013033002341 has 2 divisors, whose sum is σ = 2013033002342. Its totient is φ = 2013033002340.

The previous prime is 2013033002303. The next prime is 2013033002347. The reversal of 2013033002341 is 1432003303102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1751774014116 + 261258988225 = 1323546^2 + 511135^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013033002341 - 2¹⁹ = 2013032478053 is a prime.

It is a super-2 number, since 2×2013033002341² (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 (2013033002347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006516501170 + 1006516501171.

It is an arithmetic number, because the mean of its divisors is an integer number (1006516501171).

Almost surely, 2^{2013033002341} is an apocalyptic number.

It is an amenable number.

2013033002341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013033002341 is an equidigital number, since it uses as much as digits as its factorization.

2013033002341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2013033002341 its reverse (1432003303102), we get a palindrome (3445036305443).

The spelling of 2013033002341 in words is "two trillion, thirteen billion, thirty-three million, two thousand, three hundred forty-one".