10221313221331 has 8 divisors (see below), whose sum is σ = 10245161620800. Its totient is φ = 10197465438720.

The previous prime is 10221313221281. The next prime is 10221313221359. The reversal of 10221313221331 is 13312231312201.

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 10221313221331 - 2²⁷ = 10221179003603 is a prime.

It is a super-2 number, since 2×10221313221331² (a number of 27 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 = 10221313221296 and 10221313221305.

It is not an unprimeable number, because it can be changed into a prime (10221313221731) 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, 66041985 + ... + 66196573.

It is an arithmetic number, because the mean of its divisors is an integer number (1280645202600).

Almost surely, 2^{10221313221331} is an apocalyptic number.

10221313221331 is a deficient number, since it is larger than the sum of its proper divisors (23848399469).

10221313221331 is a wasteful number, since it uses less digits than its factorization.

10221313221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308429.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10221313221331 its reverse (13312231312201), we get a palindrome (23533544533532).

The spelling of 10221313221331 in words is "ten trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred thirty-one".