213453102097 has 2 divisors, whose sum is σ = 213453102098. Its totient is φ = 213453102096.

The previous prime is 213453102053. The next prime is 213453102119. The reversal of 213453102097 is 790201354312.

213453102097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165265827841 + 48187274256 = 406529^2 + 219516^2 .

It is a cyclic number.

It is not a de Polignac number, because 213453102097 - 2¹⁵ = 213453069329 is a prime.

It is not a weakly prime, because it can be changed into another prime (213457102097) 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, 106726551048 + 106726551049.

It is an arithmetic number, because the mean of its divisors is an integer number (106726551049).

Almost surely, 2^213453102097 is an apocalyptic number.

It is an amenable number.

213453102097 is a deficient number, since it is larger than the sum of its proper divisors (1).

213453102097 is an equidigital number, since it uses as much as digits as its factorization.

213453102097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 213453102097 in words is "two hundred thirteen billion, four hundred fifty-three million, one hundred two thousand, ninety-seven".