107001133 has 2 divisors, whose sum is σ = 107001134. Its totient is φ = 107001132.

The previous prime is 107001109. The next prime is 107001143. The reversal of 107001133 is 331100701.

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., 77211369 + 29789764 = 8787^2 + 5458^2 .

It is a cyclic number.

It is not a de Polignac number, because 107001133 - 2⁵ = 107001101 is a prime.

It is a super-2 number, since 2×107001133² = 22898484926567378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107001143) 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, 53500566 + 53500567.

It is an arithmetic number, because the mean of its divisors is an integer number (53500567).

Almost surely, 2^107001133 is an apocalyptic number.

It is an amenable number.

107001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

107001133 is an equidigital number, since it uses as much as digits as its factorization.

107001133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 107001133 is about 10344.1351982657. The cubic root of 107001133 is about 474.7476155073.

Adding to 107001133 its reverse (331100701), we get a palindrome (438101834).

The spelling of 107001133 in words is "one hundred seven million, one thousand, one hundred thirty-three".