313023013100221 has 2 divisors, whose sum is σ = 313023013100222. Its totient is φ = 313023013100220.

The previous prime is 313023013100209. The next prime is 313023013100233. The reversal of 313023013100221 is 122001310320313.

It is a balanced prime because it is at equal distance from previous prime (313023013100209) and next prime (313023013100233).

It can be written as a sum of positive squares in only one way, i.e., 182506211984196 + 130516801116025 = 13509486^2 + 11424395^2 .

It is a cyclic number.

It is not a de Polignac number, because 313023013100221 - 2³¹ = 313020865616573 is a prime.

It is a super-2 number, since 2×313023013100221² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313023013100192 and 313023013100201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313023013100521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156511506550110 + 156511506550111.

It is an arithmetic number, because the mean of its divisors is an integer number (156511506550111).

Almost surely, 2^{313023013100221} is an apocalyptic number.

It is an amenable number.

313023013100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

313023013100221 is an equidigital number, since it uses as much as digits as its factorization.

313023013100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 313023013100221 its reverse (122001310320313), we get a palindrome (435024323420534).

The spelling of 313023013100221 in words is "three hundred thirteen trillion, twenty-three billion, thirteen million, one hundred thousand, two hundred twenty-one".