1307417312221 has 8 divisors (see below), whose sum is σ = 1342879980984. Its totient is φ = 1271961331200.

The previous prime is 1307417312219. The next prime is 1307417312261. The reversal of 1307417312221 is 1222137147031.

It can be written as a sum of positive squares in 4 ways, for example, as 824211595321 + 483205716900 = 907861^2 + 695130^2 .

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 1307417312221 - 2¹ = 1307417312219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307417312261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274380 + ... + 2058853.

It is an arithmetic number, because the mean of its divisors is an integer number (167859997623).

Almost surely, 2^{1307417312221} is an apocalyptic number.

It is an amenable number.

1307417312221 is a deficient number, since it is larger than the sum of its proper divisors (35462668763).

1307417312221 is a wasteful number, since it uses less digits than its factorization.

1307417312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343871.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 1307417312221 in words is "one trillion, three hundred seven billion, four hundred seventeen million, three hundred twelve thousand, two hundred twenty-one".