10022133310331 has 16 divisors (see below), whose sum is σ = 10168447687200. Its totient is φ = 9876827363328.

The previous prime is 10022133310307. The next prime is 10022133310337. The reversal of 10022133310331 is 13301333122001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022133310331 is a prime.

It is a super-2 number, since 2×10022133310331² (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 = 10022133310297 and 10022133310306.

It is not an unprimeable number, because it can be changed into a prime (10022133310337) 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, 115807505 + ... + 115894013.

It is an arithmetic number, because the mean of its divisors is an integer number (635527980450).

Almost surely, 2^{10022133310331} is an apocalyptic number.

10022133310331 is a deficient number, since it is larger than the sum of its proper divisors (146314376869).

10022133310331 is a wasteful number, since it uses less digits than its factorization.

10022133310331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92318.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10022133310331 its reverse (13301333122001), we get a palindrome (23323466432332).

The spelling of 10022133310331 in words is "ten trillion, twenty-two billion, one hundred thirty-three million, three hundred ten thousand, three hundred thirty-one".