221293713413 has 2 divisors, whose sum is σ = 221293713414. Its totient is φ = 221293713412.

The previous prime is 221293713379. The next prime is 221293713427. The reversal of 221293713413 is 314317392122.

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., 150902725444 + 70390987969 = 388462^2 + 265313^2 .

It is a cyclic number.

It is not a de Polignac number, because 221293713413 - 2⁶ = 221293713349 is a prime.

It is a super-2 number, since 2×221293713413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221293710413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110646856706 + 110646856707.

It is an arithmetic number, because the mean of its divisors is an integer number (110646856707).

Almost surely, 2^221293713413 is an apocalyptic number.

It is an amenable number.

221293713413 is a deficient number, since it is larger than the sum of its proper divisors (1).

221293713413 is an equidigital number, since it uses as much as digits as its factorization.

221293713413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 38.

The spelling of 221293713413 in words is "two hundred twenty-one billion, two hundred ninety-three million, seven hundred thirteen thousand, four hundred thirteen".