100213320033 has 48 divisors (see below), whose sum is σ = 160133016576. Its totient is φ = 60171154560.

The previous prime is 100213320029. The next prime is 100213320037. The reversal of 100213320033 is 330023312001.

100213320033 is a `hidden beast` number, since 100 + 213 + 320 + 0 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (100213320029) and next prime (100213320037).

It is not a de Polignac number, because 100213320033 - 2² = 100213320029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213319988 and 100213320015.

It is not an unprimeable number, because it can be changed into a prime (100213320037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26391 + ... + 448467.

It is an arithmetic number, because the mean of its divisors is an integer number (3336104512).

Almost surely, 2^100213320033 is an apocalyptic number.

It is an amenable number.

100213320033 is a deficient number, since it is larger than the sum of its proper divisors (59919696543).

100213320033 is a wasteful number, since it uses less digits than its factorization.

100213320033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422174 (or 422171 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100213320033 its reverse (330023312001), we get a palindrome (430236632034).

The spelling of 100213320033 in words is "one hundred billion, two hundred thirteen million, three hundred twenty thousand, thirty-three".