100100103133 has 2 divisors, whose sum is σ = 100100103134. Its totient is φ = 100100103132.

The previous prime is 100100103121. The next prime is 100100103143. The reversal of 100100103133 is 331301001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52190773209 + 47909329924 = 228453^2 + 218882^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100103133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100103143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050051566 + 50050051567.

It is an arithmetic number, because the mean of its divisors is an integer number (50050051567).

Almost surely, 2^100100103133 is an apocalyptic number.

It is an amenable number.

100100103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100103133 is an equidigital number, since it uses as much as digits as its factorization.

100100103133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100100103133 its reverse (331301001001), we get a palindrome (431401104134).

The spelling of 100100103133 in words is "one hundred billion, one hundred million, one hundred three thousand, one hundred thirty-three".