10221311320331 has 8 divisors (see below), whose sum is σ = 10273741260000. Its totient is φ = 10168892046720.

The previous prime is 10221311320313. The next prime is 10221311320417. The reversal of 10221311320331 is 13302311312201.

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 10221311320331 - 2³⁴ = 10204131451147 is a prime.

It is a super-2 number, since 2×10221311320331² (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 = 10221311320297 and 10221311320306.

It is not an unprimeable number, because it can be changed into a prime (10221311320631) 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, 741440 + ... + 4581741.

It is an arithmetic number, because the mean of its divisors is an integer number (1284217657500).

Almost surely, 2^{10221311320331} is an apocalyptic number.

10221311320331 is a deficient number, since it is larger than the sum of its proper divisors (52429939669).

10221311320331 is an equidigital number, since it uses as much as digits as its factorization.

10221311320331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333029.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10221311320331 its reverse (13302311312201), we get a palindrome (23523622632532).

The spelling of 10221311320331 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty thousand, three hundred thirty-one".