40133101 has 2 divisors, whose sum is σ = 40133102. Its totient is φ = 40133100.

The previous prime is 40133081. The next prime is 40133117. The reversal of 40133101 is 10133104.

40133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38812900 + 1320201 = 6230^2 + 1149^2 .

It is a cyclic number.

It is not a de Polignac number, because 40133101 - 2⁵ = 40133069 is a prime.

It is a super-2 number, since 2×40133101² = 3221331591752402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20066550 + 20066551.

It is an arithmetic number, because the mean of its divisors is an integer number (20066551).

Almost surely, 2^40133101 is an apocalyptic number.

It is an amenable number.

40133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

40133101 is an equidigital number, since it uses as much as digits as its factorization.

40133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 40133101 is about 6335.0691393228. The cubic root of 40133101 is about 342.3741018794.

Adding to 40133101 its reverse (10133104), we get a palindrome (50266205).

The spelling of 40133101 in words is "forty million, one hundred thirty-three thousand, one hundred one".