101133441 has 32 divisors (see below), whose sum is σ = 153267840. Its totient is φ = 66718080.

The previous prime is 101133437. The next prime is 101133443. The reversal of 101133441 is 144331101.

It is not a de Polignac number, because 101133441 - 2² = 101133437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101133443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286321 + ... + 286673.

It is an arithmetic number, because the mean of its divisors is an integer number (4789620).

Almost surely, 2^101133441 is an apocalyptic number.

It is an amenable number.

101133441 is a deficient number, since it is larger than the sum of its proper divisors (52134399).

101133441 is an frugal number, since it uses more digits than its factorization.

101133441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101133441 is about 10056.5123676153. The cubic root of 101133441 is about 465.9059549145.

Adding to 101133441 its reverse (144331101), we get a palindrome (245464542).

The spelling of 101133441 in words is "one hundred one million, one hundred thirty-three thousand, four hundred forty-one".