2121345314593 has 2 divisors, whose sum is σ = 2121345314594. Its totient is φ = 2121345314592.

The previous prime is 2121345314521. The next prime is 2121345314629. The reversal of 2121345314593 is 3954135431212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2039049770209 + 82295544384 = 1427953^2 + 286872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121345314593 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121345354593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060672657296 + 1060672657297.

It is an arithmetic number, because the mean of its divisors is an integer number (1060672657297).

Almost surely, 2^{2121345314593} is an apocalyptic number.

It is an amenable number.

2121345314593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121345314593 is an equidigital number, since it uses as much as digits as its factorization.

2121345314593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 388800, while the sum is 43.

The spelling of 2121345314593 in words is "two trillion, one hundred twenty-one billion, three hundred forty-five million, three hundred fourteen thousand, five hundred ninety-three".