221313129923957 has 2 divisors, whose sum is σ = 221313129923958. Its totient is φ = 221313129923956.

The previous prime is 221313129923933. The next prime is 221313129923959. The reversal of 221313129923957 is 759329921313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163063858965316 + 58249270958641 = 12769646^2 + 7632121^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313129923957 - 2²⁶ = 221313062815093 is a prime.

Together with 221313129923959, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 221313129923896 and 221313129923905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221313129923959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656564961978 + 110656564961979.

It is an arithmetic number, because the mean of its divisors is an integer number (110656564961979).

Almost surely, 2^{221313129923957} is an apocalyptic number.

It is an amenable number.

221313129923957 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313129923957 is an equidigital number, since it uses as much as digits as its factorization.

221313129923957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11022480, while the sum is 59.

The spelling of 221313129923957 in words is "two hundred twenty-one trillion, three hundred thirteen billion, one hundred twenty-nine million, nine hundred twenty-three thousand, nine hundred fifty-seven".