221310413 has 2 divisors, whose sum is σ = 221310414. Its totient is φ = 221310412.

The previous prime is 221310371. The next prime is 221310421. The reversal of 221310413 is 314013122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212080969 + 9229444 = 14563^2 + 3038^2 .

It is a cyclic number.

It is not a de Polignac number, because 221310413 - 2²⁰ = 220261837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221310391 and 221310400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221310473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655206 + 110655207.

It is an arithmetic number, because the mean of its divisors is an integer number (110655207).

Almost surely, 2^221310413 is an apocalyptic number.

It is an amenable number.

221310413 is a deficient number, since it is larger than the sum of its proper divisors (1).

221310413 is an equidigital number, since it uses as much as digits as its factorization.

221310413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 221310413 is about 14876.5054028155. The cubic root of 221310413 is about 604.8772949701.

Adding to 221310413 its reverse (314013122), we get a palindrome (535323535).

The spelling of 221310413 in words is "two hundred twenty-one million, three hundred ten thousand, four hundred thirteen".