2013233020993 has 2 divisors, whose sum is σ = 2013233020994. Its totient is φ = 2013233020992.

The previous prime is 2013233020979. The next prime is 2013233021057. The reversal of 2013233020993 is 3990203323102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1552147205904 + 461085815089 = 1245852^2 + 679033^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013233020993 - 2¹³ = 2013233012801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013233020913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006616510496 + 1006616510497.

It is an arithmetic number, because the mean of its divisors is an integer number (1006616510497).

Almost surely, 2^{2013233020993} is an apocalyptic number.

It is an amenable number.

2013233020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013233020993 is an equidigital number, since it uses as much as digits as its factorization.

2013233020993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 37.

The spelling of 2013233020993 in words is "two trillion, thirteen billion, two hundred thirty-three million, twenty thousand, nine hundred ninety-three".