100133431 has 2 divisors, whose sum is σ = 100133432. Its totient is φ = 100133430.

The previous prime is 100133419. The next prime is 100133459. The reversal of 100133431 is 134331001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100133431 - 2⁵ = 100133399 is a prime.

It is a super-4 number, since 4×100133431⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066715 + 50066716.

It is an arithmetic number, because the mean of its divisors is an integer number (50066716).

Almost surely, 2^100133431 is an apocalyptic number.

100133431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133431 is an equidigital number, since it uses as much as digits as its factorization.

100133431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 100133431 is about 10006.6693260045. The cubic root of 100133431 is about 464.3652355558.

Adding to 100133431 its reverse (134331001), we get a palindrome (234464432).

The spelling of 100133431 in words is "one hundred million, one hundred thirty-three thousand, four hundred thirty-one".