100305402133 has 2 divisors, whose sum is σ = 100305402134. Its totient is φ = 100305402132.

The previous prime is 100305402089. The next prime is 100305402137. The reversal of 100305402133 is 331204503001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93855224164 + 6450177969 = 306358^2 + 80313^2 .

It is an emirp because it is prime and its reverse (331204503001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100305402133 - 2⁹ = 100305401621 is a prime.

It is a super-2 number, since 2×100305402133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100305402137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50152701066 + 50152701067.

It is an arithmetic number, because the mean of its divisors is an integer number (50152701067).

Almost surely, 2^100305402133 is an apocalyptic number.

It is an amenable number.

100305402133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100305402133 is an equidigital number, since it uses as much as digits as its factorization.

100305402133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 100305402133 its reverse (331204503001), we get a palindrome (431509905134).

The spelling of 100305402133 in words is "one hundred billion, three hundred five million, four hundred two thousand, one hundred thirty-three".