21213121300193 has 2 divisors, whose sum is σ = 21213121300194. Its totient is φ = 21213121300192.

The previous prime is 21213121300187. The next prime is 21213121300207. The reversal of 21213121300193 is 39100312131212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17756169433249 + 3456951866944 = 4213807^2 + 1859288^2 .

It is a cyclic number.

It is not a de Polignac number, because 21213121300193 - 2²⁴ = 21213104522977 is a prime.

It is not a weakly prime, because it can be changed into another prime (21213121300123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606560650096 + 10606560650097.

It is an arithmetic number, because the mean of its divisors is an integer number (10606560650097).

Almost surely, 2^{21213121300193} is an apocalyptic number.

It is an amenable number.

21213121300193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213121300193 is an equidigital number, since it uses as much as digits as its factorization.

21213121300193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 21213121300193 in words is "twenty-one trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thousand, one hundred ninety-three".