2034242000213 has 2 divisors, whose sum is σ = 2034242000214. Its totient is φ = 2034242000212.

The previous prime is 2034242000083. The next prime is 2034242000221. The reversal of 2034242000213 is 3120002424302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1837765232164 + 196476768049 = 1355642^2 + 443257^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034242000213 - 2²⁰ = 2034240951637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2034244000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017121000106 + 1017121000107.

It is an arithmetic number, because the mean of its divisors is an integer number (1017121000107).

Almost surely, 2^{2034242000213} is an apocalyptic number.

It is an amenable number.

2034242000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034242000213 is an equidigital number, since it uses as much as digits as its factorization.

2034242000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2034242000213 its reverse (3120002424302), we get a palindrome (5154244424515).

The spelling of 2034242000213 in words is "two trillion, thirty-four billion, two hundred forty-two million, two hundred thirteen", and thus it is an aban number.