101133261 has 6 divisors (see below), whose sum is σ = 146081390. Its totient is φ = 67422168.

The previous prime is 101133239. The next prime is 101133271. The reversal of 101133261 is 162331101.

It can be written as a sum of positive squares in only one way, i.e., 99620361 + 1512900 = 9981^2 + 1230^2 .

It is not a de Polignac number, because 101133261 - 2⁵ = 101133229 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 (101133211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5618506 + ... + 5618523.

Almost surely, 2^101133261 is an apocalyptic number.

It is an amenable number.

101133261 is a deficient number, since it is larger than the sum of its proper divisors (44948129).

101133261 is a wasteful number, since it uses less digits than its factorization.

101133261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237035 (or 11237032 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101133261 is about 10056.5034181867. The cubic root of 101133261 is about 465.9056785037.

Adding to 101133261 its reverse (162331101), we get a palindrome (263464362).

The spelling of 101133261 in words is "one hundred one million, one hundred thirty-three thousand, two hundred sixty-one".