101007133 has 4 divisors (see below), whose sum is σ = 101034108. Its totient is φ = 100980160.

The previous prime is 101007121. The next prime is 101007143. The reversal of 101007133 is 331700101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331700101 = 73 ⋅4543837.

It can be written as a sum of positive squares in 2 ways, for example, as 57486724 + 43520409 = 7582^2 + 6597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101007133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6748 + ... + 15733.

It is an arithmetic number, because the mean of its divisors is an integer number (25258527).

Almost surely, 2^101007133 is an apocalyptic number.

It is an amenable number.

101007133 is a deficient number, since it is larger than the sum of its proper divisors (26975).

101007133 is an equidigital number, since it uses as much as digits as its factorization.

101007133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26974.

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

The square root of 101007133 is about 10050.2304948693. The cubic root of 101007133 is about 465.7119137067.

Adding to 101007133 its reverse (331700101), we get a palindrome (432707234).

The spelling of 101007133 in words is "one hundred one million, seven thousand, one hundred thirty-three".