3402132311993 has 2 divisors, whose sum is σ = 3402132311994. Its totient is φ = 3402132311992.

The previous prime is 3402132311959. The next prime is 3402132312053. The reversal of 3402132311993 is 3991132312043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2146145890729 + 1255986421264 = 1464973^2 + 1120708^2 .

It is a cyclic number.

It is not a de Polignac number, because 3402132311993 - 2⁸ = 3402132311737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3402132311993.

It is not a weakly prime, because it can be changed into another prime (3402132311923) 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, 1701066155996 + 1701066155997.

It is an arithmetic number, because the mean of its divisors is an integer number (1701066155997).

Almost surely, 2^{3402132311993} is an apocalyptic number.

It is an amenable number.

3402132311993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3402132311993 is an equidigital number, since it uses as much as digits as its factorization.

3402132311993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 3402132311993 in words is "three trillion, four hundred two billion, one hundred thirty-two million, three hundred eleven thousand, nine hundred ninety-three".