100400133 has 8 divisors (see below), whose sum is σ = 135118368. Its totient is φ = 66307664.

The previous prime is 100400119. The next prime is 100400137. The reversal of 100400133 is 331004001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100400133 - 2²⁰ = 99351557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156066 + ... + 156707.

It is an arithmetic number, because the mean of its divisors is an integer number (16889796).

Almost surely, 2^100400133 is an apocalyptic number.

It is an amenable number.

100400133 is a deficient number, since it is larger than the sum of its proper divisors (34718235).

100400133 is a wasteful number, since it uses less digits than its factorization.

100400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312883.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100400133 is about 10019.9866766378. The cubic root of 100400133 is about 464.7771437600. Note that the first 3 decimals are identical.

Adding to 100400133 its reverse (331004001), we get a palindrome (431404134).

The spelling of 100400133 in words is "one hundred million, four hundred thousand, one hundred thirty-three".