100323133010033 has 8 divisors (see below), whose sum is σ = 101733642959400. Its totient is φ = 98922452398720.

The previous prime is 100323133010029. The next prime is 100323133010039. The reversal of 100323133010033 is 330010331323001.

It can be written as a sum of positive squares in 4 ways, for example, as 1141292665969 + 99181840344064 = 1068313^2 + 9959008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100323133010033 - 2² = 100323133010029 is a prime.

It is a super-2 number, since 2×100323133010033² (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 = 100323133009990 and 100323133010008.

It is not an unprimeable number, because it can be changed into a prime (100323133010039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2457313958 + ... + 2457354783.

It is an arithmetic number, because the mean of its divisors is an integer number (12716705369925).

Almost surely, 2^{100323133010033} is an apocalyptic number.

It is an amenable number.

100323133010033 is a deficient number, since it is larger than the sum of its proper divisors (1410509949367).

100323133010033 is a wasteful number, since it uses less digits than its factorization.

100323133010033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914669027.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 100323133010033 its reverse (330010331323001), we get a palindrome (430333464333034).

The spelling of 100323133010033 in words is "one hundred trillion, three hundred twenty-three billion, one hundred thirty-three million, ten thousand, thirty-three".