4221642657313 has 2 divisors, whose sum is σ = 4221642657314. Its totient is φ = 4221642657312.

The previous prime is 4221642657311. The next prime is 4221642657383. The reversal of 4221642657313 is 3137562461224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4111782229009 + 109860428304 = 2027753^2 + 331452^2 .

It is a cyclic number.

It is not a de Polignac number, because 4221642657313 - 2¹ = 4221642657311 is a prime.

Together with 4221642657311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4221642657311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110821328656 + 2110821328657.

It is an arithmetic number, because the mean of its divisors is an integer number (2110821328657).

Almost surely, 2^{4221642657313} is an apocalyptic number.

It is an amenable number.

4221642657313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4221642657313 is an equidigital number, since it uses as much as digits as its factorization.

4221642657313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1451520, while the sum is 46.

The spelling of 4221642657313 in words is "four trillion, two hundred twenty-one billion, six hundred forty-two million, six hundred fifty-seven thousand, three hundred thirteen".