100033000132301 has 2 divisors, whose sum is σ = 100033000132302. Its totient is φ = 100033000132300.

The previous prime is 100033000132271. The next prime is 100033000132309. The reversal of 100033000132301 is 103231000330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70019574772900 + 30013425359401 = 8367770^2 + 5478451^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033000132301 - 2¹⁸ = 100032999870157 is a prime.

It is a super-2 number, since 2×100033000132301² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100033000132301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100033000132309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016500066150 + 50016500066151.

It is an arithmetic number, because the mean of its divisors is an integer number (50016500066151).

Almost surely, 2^{100033000132301} is an apocalyptic number.

It is an amenable number.

100033000132301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033000132301 is an equidigital number, since it uses as much as digits as its factorization.

100033000132301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100033000132301 its reverse (103231000330001), we get a palindrome (203264000462302).

The spelling of 100033000132301 in words is "one hundred trillion, thirty-three billion, one hundred thirty-two thousand, three hundred one".