10221131313 has 16 divisors (see below), whose sum is σ = 15464597760. Its totient is φ = 6669106128.

The previous prime is 10221131191. The next prime is 10221131317. The reversal of 10221131313 is 31313112201.

10221131313 is a `hidden beast` number, since 1 + 0 + 221 + 131 + 313 = 666.

It is not a de Polignac number, because 10221131313 - 2⁸ = 10221131057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221131317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025970 + ... + 4028507.

It is an arithmetic number, because the mean of its divisors is an integer number (966537360).

Almost surely, 2^10221131313 is an apocalyptic number.

It is an amenable number.

10221131313 is a deficient number, since it is larger than the sum of its proper divisors (5243466447).

10221131313 is an equidigital number, since it uses as much as digits as its factorization.

10221131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054533 (or 8054527 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10221131313 its reverse (31313112201), we get a palindrome (41534243514).

The spelling of 10221131313 in words is "ten billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred thirteen".