213337191007253 has 2 divisors, whose sum is σ = 213337191007254. Its totient is φ = 213337191007252.

The previous prime is 213337191007163. The next prime is 213337191007301. The reversal of 213337191007253 is 352700191733312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193442005005649 + 19895186001604 = 13908343^2 + 4460402^2 .

It is a cyclic number.

It is not a de Polignac number, because 213337191007253 - 2¹⁶ = 213337190941717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213337191007198 and 213337191007207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213337191007153) 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, 106668595503626 + 106668595503627.

It is an arithmetic number, because the mean of its divisors is an integer number (106668595503627).

Almost surely, 2^{213337191007253} is an apocalyptic number.

It is an amenable number.

213337191007253 is a deficient number, since it is larger than the sum of its proper divisors (1).

213337191007253 is an equidigital number, since it uses as much as digits as its factorization.

213337191007253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 714420, while the sum is 47.

The spelling of 213337191007253 in words is "two hundred thirteen trillion, three hundred thirty-seven billion, one hundred ninety-one million, seven thousand, two hundred fifty-three".