213001100331293 has 2 divisors, whose sum is σ = 213001100331294. Its totient is φ = 213001100331292.

The previous prime is 213001100331251. The next prime is 213001100331301. The reversal of 213001100331293 is 392133001100312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156781501222564 + 56219599108729 = 12521242^2 + 7497973^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001100331293 - 2²⁸ = 213000831895837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213001100301293) 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, 106500550165646 + 106500550165647.

It is an arithmetic number, because the mean of its divisors is an integer number (106500550165647).

Almost surely, 2^{213001100331293} is an apocalyptic number.

It is an amenable number.

213001100331293 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001100331293 is an equidigital number, since it uses as much as digits as its factorization.

213001100331293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 213001100331293 in words is "two hundred thirteen trillion, one billion, one hundred million, three hundred thirty-one thousand, two hundred ninety-three".