10031322122233 has 2 divisors, whose sum is σ = 10031322122234. Its totient is φ = 10031322122232.

The previous prime is 10031322122221. The next prime is 10031322122243. The reversal of 10031322122233 is 33222122313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10027589889769 + 3732232464 = 3166637^2 + 61092^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031322122233 - 2³³ = 10022732187641 is a prime.

It is a super-3 number, since 3×10031322122233³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031322122198 and 10031322122207.

It is not a weakly prime, because it can be changed into another prime (10031322122243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015661061116 + 5015661061117.

It is an arithmetic number, because the mean of its divisors is an integer number (5015661061117).

Almost surely, 2^{10031322122233} is an apocalyptic number.

It is an amenable number.

10031322122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031322122233 is an equidigital number, since it uses as much as digits as its factorization.

10031322122233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10031322122233 its reverse (33222122313001), we get a palindrome (43253444435234).

The spelling of 10031322122233 in words is "ten trillion, thirty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-three".