2002233111013 has 2 divisors, whose sum is σ = 2002233111014. Its totient is φ = 2002233111012.

The previous prime is 2002233110989. The next prime is 2002233111019. The reversal of 2002233111013 is 3101113322002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1350018581409 + 652214529604 = 1161903^2 + 807598^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002233111013 - 2¹⁷ = 2002232979941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002233111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001116555506 + 1001116555507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001116555507).

Almost surely, 2^{2002233111013} is an apocalyptic number.

It is an amenable number.

2002233111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002233111013 is an equidigital number, since it uses as much as digits as its factorization.

2002233111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2002233111013 its reverse (3101113322002), we get a palindrome (5103346433015).

The spelling of 2002233111013 in words is "two trillion, two billion, two hundred thirty-three million, one hundred eleven thousand, thirteen".