100133461 has 2 divisors, whose sum is σ = 100133462. Its totient is φ = 100133460.

The previous prime is 100133459. The next prime is 100133471. The reversal of 100133461 is 164331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74822500 + 25310961 = 8650^2 + 5031^2 .

It is an emirp because it is prime and its reverse (164331001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100133461 - 2¹ = 100133459 is a prime.

Together with 100133459, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066730 + 50066731.

It is an arithmetic number, because the mean of its divisors is an integer number (50066731).

Almost surely, 2^100133461 is an apocalyptic number.

It is an amenable number.

100133461 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133461 is an equidigital number, since it uses as much as digits as its factorization.

100133461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100133461 is about 10006.6708250047. The cubic root of 100133461 is about 464.3652819304.

Adding to 100133461 its reverse (164331001), we get a palindrome (264464462).

The spelling of 100133461 in words is "one hundred million, one hundred thirty-three thousand, four hundred sixty-one".