313104213413221 has 16 divisors (see below), whose sum is σ = 324031268761200. Its totient is φ = 302185857996288.

The previous prime is 313104213413137. The next prime is 313104213413287. The reversal of 313104213413221 is 122314312401313.

It can be written as a sum of positive squares in 8 ways, for example, as 92804110313121 + 220300103100100 = 9633489^2 + 14842510^2 .

It is not a de Polignac number, because 313104213413221 - 2⁴⁷ = 172366725057893 is a prime.

It is a super-2 number, since 2×313104213413221² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313104213413291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301001375 + ... + 2301137443.

It is an arithmetic number, because the mean of its divisors is an integer number (20251954297575).

Almost surely, 2^{313104213413221} is an apocalyptic number.

It is an amenable number.

313104213413221 is a deficient number, since it is larger than the sum of its proper divisors (10927055347979).

313104213413221 is a wasteful number, since it uses less digits than its factorization.

313104213413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167448.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 313104213413221 its reverse (122314312401313), we get a palindrome (435418525814534).

The spelling of 313104213413221 in words is "three hundred thirteen trillion, one hundred four billion, two hundred thirteen million, four hundred thirteen thousand, two hundred twenty-one".