101133581 has 2 divisors, whose sum is σ = 101133582. Its totient is φ = 101133580.

The previous prime is 101133559. The next prime is 101133583. The reversal of 101133581 is 185331101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98684356 + 2449225 = 9934^2 + 1565^2 .

It is an emirp because it is prime and its reverse (185331101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101133581 - 2⁶ = 101133517 is a prime.

It is a super-2 number, since 2×101133581² = 20456002411767122, which contains 22 as substring.

Together with 101133583, 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 (101133583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566790 + 50566791.

It is an arithmetic number, because the mean of its divisors is an integer number (50566791).

Almost surely, 2^101133581 is an apocalyptic number.

It is an amenable number.

101133581 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133581 is an equidigital number, since it uses as much as digits as its factorization.

101133581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 101133581 is about 10056.5193282766. The cubic root of 101133581 is about 465.9061699005.

Adding to 101133581 its reverse (185331101), we get a palindrome (286464682).

The spelling of 101133581 in words is "one hundred one million, one hundred thirty-three thousand, five hundred eighty-one".