1310000312221 has 8 divisors (see below), whose sum is σ = 1334678328504. Its totient is φ = 1285551859200.

The previous prime is 1310000312213. The next prime is 1310000312237. The reversal of 1310000312221 is 1222130000131.

It can be written as a sum of positive squares in 4 ways, for example, as 9291996025 + 1300708316196 = 96395^2 + 1140486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1310000312221 - 2³ = 1310000312213 is a prime.

It is a super-2 number, since 2×1310000312221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310000312195 and 1310000312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310000312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57379296 + ... + 57402121.

It is an arithmetic number, because the mean of its divisors is an integer number (166834791063).

Almost surely, 2^{1310000312221} is an apocalyptic number.

It is an amenable number.

1310000312221 is a deficient number, since it is larger than the sum of its proper divisors (24678016283).

1310000312221 is a wasteful number, since it uses less digits than its factorization.

1310000312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114781631.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1310000312221 its reverse (1222130000131), we get a palindrome (2532130312352).

The spelling of 1310000312221 in words is "one trillion, three hundred ten billion, three hundred twelve thousand, two hundred twenty-one".