2013033002249 has 2 divisors, whose sum is σ = 2013033002250. Its totient is φ = 2013033002248.

The previous prime is 2013033002237. The next prime is 2013033002257. The reversal of 2013033002249 is 9422003303102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2006948222224 + 6084780025 = 1416668^2 + 78005^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013033002249 - 2¹² = 2013032998153 is a prime.

It is a super-3 number, since 3×2013033002249³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2013033052249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006516501124 + 1006516501125.

It is an arithmetic number, because the mean of its divisors is an integer number (1006516501125).

Almost surely, 2^{2013033002249} is an apocalyptic number.

It is an amenable number.

2013033002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013033002249 is an equidigital number, since it uses as much as digits as its factorization.

2013033002249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 2013033002249 in words is "two trillion, thirteen billion, thirty-three million, two thousand, two hundred forty-nine".