100133081 has 2 divisors, whose sum is σ = 100133082. Its totient is φ = 100133080.

The previous prime is 100132999. The next prime is 100133101. The reversal of 100133081 is 180331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59428681 + 40704400 = 7709^2 + 6380^2 .

It is an emirp because it is prime and its reverse (180331001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100133081 - 2¹⁴ = 100116697 is a prime.

It is a super-2 number, since 2×100133081² = 20053267821105122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100133981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066540 + 50066541.

It is an arithmetic number, because the mean of its divisors is an integer number (50066541).

Almost surely, 2^100133081 is an apocalyptic number.

It is an amenable number.

100133081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133081 is an equidigital number, since it uses as much as digits as its factorization.

100133081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 100133081 is about 10006.6518376528. The cubic root of 100133081 is about 464.3646945176.

Adding to 100133081 its reverse (180331001), we get a palindrome (280464082).

The spelling of 100133081 in words is "one hundred million, one hundred thirty-three thousand, eighty-one".