2123056729393 has 2 divisors, whose sum is σ = 2123056729394. Its totient is φ = 2123056729392.

The previous prime is 2123056729309. The next prime is 2123056729411. The reversal of 2123056729393 is 3939276503212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1960428423409 + 162628305984 = 1400153^2 + 403272^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123056729393 - 2¹⁷ = 2123056598321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2123056729393.

It is not a weakly prime, because it can be changed into another prime (2123056729193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061528364696 + 1061528364697.

It is an arithmetic number, because the mean of its divisors is an integer number (1061528364697).

Almost surely, 2^{2123056729393} is an apocalyptic number.

It is an amenable number.

2123056729393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123056729393 is an equidigital number, since it uses as much as digits as its factorization.

2123056729393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 2123056729393 in words is "two trillion, one hundred twenty-three billion, fifty-six million, seven hundred twenty-nine thousand, three hundred ninety-three".