10221313011131 has 8 divisors (see below), whose sum is σ = 10395213480960. Its totient is φ = 10047434470632.

The previous prime is 10221313011109. The next prime is 10221313011139. The reversal of 10221313011131 is 13111031312201.

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 10221313011131 - 2¹⁴ = 10221312994747 is a prime.

It is a super-2 number, since 2×10221313011131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221313011139) 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, 4540835 + ... + 6407948.

It is an arithmetic number, because the mean of its divisors is an integer number (1299401685120).

Almost surely, 2^{10221313011131} is an apocalyptic number.

10221313011131 is a deficient number, since it is larger than the sum of its proper divisors (173900469829).

10221313011131 is a wasteful number, since it uses less digits than its factorization.

10221313011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964665.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10221313011131 its reverse (13111031312201), we get a palindrome (23332344323332).

The spelling of 10221313011131 in words is "ten trillion, two hundred twenty-one billion, three hundred thirteen million, eleven thousand, one hundred thirty-one".