2034113399993 has 2 divisors, whose sum is σ = 2034113399994. Its totient is φ = 2034113399992.

The previous prime is 2034113399947. The next prime is 2034113400041. The reversal of 2034113399993 is 3999933114302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1360274350864 + 673839049129 = 1166308^2 + 820877^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034113399993 - 2¹⁴ = 2034113383609 is a prime.

It is not a weakly prime, because it can be changed into another prime (2034113396993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017056699996 + 1017056699997.

It is an arithmetic number, because the mean of its divisors is an integer number (1017056699997).

Almost surely, 2^{2034113399993} is an apocalyptic number.

It is an amenable number.

2034113399993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034113399993 is an equidigital number, since it uses as much as digits as its factorization.

2034113399993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4251528, while the sum is 56.

The spelling of 2034113399993 in words is "two trillion, thirty-four billion, one hundred thirteen million, three hundred ninety-nine thousand, nine hundred ninety-three".