100033232133001 has 2 divisors, whose sum is σ = 100033232133002. Its totient is φ = 100033232133000.

The previous prime is 100033232132947. The next prime is 100033232133013. The reversal of 100033232133001 is 100331232330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99444673118025 + 588559014976 = 9972195^2 + 767176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100033232133001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100033232133041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016616066500 + 50016616066501.

It is an arithmetic number, because the mean of its divisors is an integer number (50016616066501).

Almost surely, 2^{100033232133001} is an apocalyptic number.

It is an amenable number.

100033232133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033232133001 is an equidigital number, since it uses as much as digits as its factorization.

100033232133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100033232133001 its reverse (100331232330001), we get a palindrome (200364464463002).

The spelling of 100033232133001 in words is "one hundred trillion, thirty-three billion, two hundred thirty-two million, one hundred thirty-three thousand, one".