2013329993 has 2 divisors, whose sum is σ = 2013329994. Its totient is φ = 2013329992.

The previous prime is 2013329971. The next prime is 2013330037. The reversal of 2013329993 is 3999233102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1094815744 + 918514249 = 33088^2 + 30307^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013329993 - 2²⁸ = 1744894537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013329993.

It is not a weakly prime, because it can be changed into another prime (2013329093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006664996 + 1006664997.

It is an arithmetic number, because the mean of its divisors is an integer number (1006664997).

Almost surely, 2^2013329993 is an apocalyptic number.

It is an amenable number.

2013329993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013329993 is an equidigital number, since it uses as much as digits as its factorization.

2013329993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 2013329993 is about 44870.1458990273. The cubic root of 2013329993 is about 1262.7139772336.

The spelling of 2013329993 in words is "two billion, thirteen million, three hundred twenty-nine thousand, nine hundred ninety-three".