2013121993 has 2 divisors, whose sum is σ = 2013121994. Its totient is φ = 2013121992.

The previous prime is 2013121987. The next prime is 2013122021. The reversal of 2013121993 is 3991213102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1546691584 + 466430409 = 39328^2 + 21597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013121993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013121973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006560996 + 1006560997.

It is an arithmetic number, because the mean of its divisors is an integer number (1006560997).

Almost surely, 2^2013121993 is an apocalyptic number.

It is an amenable number.

2013121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013121993 is an equidigital number, since it uses as much as digits as its factorization.

2013121993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 2013121993 is about 44867.8280396990. The cubic root of 2013121993 is about 1262.6704914739.

It can be divided in two parts, 20131 and 21993, that added together give a palindrome (42124).

The spelling of 2013121993 in words is "two billion, thirteen million, one hundred twenty-one thousand, nine hundred ninety-three".