100110133033 has 2 divisors, whose sum is σ = 100110133034. Its totient is φ = 100110133032.

The previous prime is 100110133021. The next prime is 100110133043. The reversal of 100110133033 is 330331011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50518406169 + 49591726864 = 224763^2 + 222692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110133033 is a prime.

It is a super-3 number, since 3×100110133033³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110132998 and 100110133016.

It is not a weakly prime, because it can be changed into another prime (100110133043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055066516 + 50055066517.

It is an arithmetic number, because the mean of its divisors is an integer number (50055066517).

Almost surely, 2^100110133033 is an apocalyptic number.

It is an amenable number.

100110133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110133033 is an equidigital number, since it uses as much as digits as its factorization.

100110133033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100110133033 its reverse (330331011001), we get a palindrome (430441144034).

The spelling of 100110133033 in words is "one hundred billion, one hundred ten million, one hundred thirty-three thousand, thirty-three".