101133305 has 48 divisors (see below), whose sum is σ = 153924624. Its totient is φ = 63221760.

The previous prime is 101133293. The next prime is 101133311. The reversal of 101133305 is 503331101.

101133305 = T₁₂₈₁ + T₁₂₈₂ + ... + T₁₃₉₃.

It can be written as a sum of positive squares in 8 ways, for example, as 23464336 + 77668969 = 4844^2 + 8813^2 .

It is not a de Polignac number, because 101133305 - 2¹⁸ = 100871161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359765 + ... + 360045.

It is an arithmetic number, because the mean of its divisors is an integer number (3206763).

Almost surely, 2^101133305 is an apocalyptic number.

It is an amenable number.

101133305 is a deficient number, since it is larger than the sum of its proper divisors (52791319).

101133305 is a wasteful number, since it uses less digits than its factorization.

101133305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 101133305 is about 10056.5056058255. The cubic root of 101133305 is about 465.9057460708.

Adding to 101133305 its reverse (503331101), we get a palindrome (604464406).

The spelling of 101133305 in words is "one hundred one million, one hundred thirty-three thousand, three hundred five".