100013222312233 has 24 divisors (see below), whose sum is σ = 111765594781800. Its totient is φ = 89173955082240.

The previous prime is 100013222312219. The next prime is 100013222312243. The reversal of 100013222312233 is 332213222310001.

It can be written as a sum of positive squares in 4 ways, for example, as 50444483495184 + 49568738817049 = 7102428^2 + 7040507^2 .

It is not a de Polignac number, because 100013222312233 - 2¹⁷ = 100013222181161 is a prime.

It is a super-2 number, since 2×100013222312233² (a number of 29 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 = 100013222312198 and 100013222312207.

It is not an unprimeable number, because it can be changed into a prime (100013222312243) 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, 337687693 + ... + 337983733.

It is an arithmetic number, because the mean of its divisors is an integer number (4656899782575).

Almost surely, 2^{100013222312233} is an apocalyptic number.

It is an amenable number.

100013222312233 is a deficient number, since it is larger than the sum of its proper divisors (11752372469567).

100013222312233 is a wasteful number, since it uses less digits than its factorization.

100013222312233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351145 (or 351126 counting only the distinct ones).

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

Adding to 100013222312233 its reverse (332213222310001), we get a palindrome (432226444622234).

The spelling of 100013222312233 in words is "one hundred trillion, thirteen billion, two hundred twenty-two million, three hundred twelve thousand, two hundred thirty-three".