10221311321343 has 24 divisors (see below), whose sum is σ = 14932381245600. Its totient is φ = 6736698077184.

The previous prime is 10221311321339. The next prime is 10221311321381. The reversal of 10221311321343 is 34312311312201.

10221311321343 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 311 + 3 + 2 + 1 + 343 = 666.

It is not a de Polignac number, because 10221311321343 - 2² = 10221311321339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221311328343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5490523 + ... + 7112556.

It is an arithmetic number, because the mean of its divisors is an integer number (622182551900).

Almost surely, 2^{10221311321343} is an apocalyptic number.

10221311321343 is a deficient number, since it is larger than the sum of its proper divisors (4711069924257).

10221311321343 is a wasteful number, since it uses less digits than its factorization.

10221311321343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604111 (or 12604108 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10221311321343 its reverse (34312311312201), we get a palindrome (44533622633544).

The spelling of 10221311321343 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred forty-three".