101134033 has 32 divisors (see below), whose sum is σ = 137797632. Its totient is φ = 71668800.

The previous prime is 101134001. The next prime is 101134051. The reversal of 101134033 is 330431101.

It is not a de Polignac number, because 101134033 - 2⁵ = 101134001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101133998 and 101134016.

It is not an unprimeable number, because it can be changed into a prime (101134063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70360 + ... + 71782.

It is an arithmetic number, because the mean of its divisors is an integer number (4306176).

Almost surely, 2^101134033 is an apocalyptic number.

101134033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101134033 is a deficient number, since it is larger than the sum of its proper divisors (36663599).

101134033 is a wasteful number, since it uses less digits than its factorization.

101134033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 101134033 is about 10056.5418012357. The cubic root of 101134033 is about 465.9068639966.

Adding to 101134033 its reverse (330431101), we get a palindrome (431565134).

The spelling of 101134033 in words is "one hundred one million, one hundred thirty-four thousand, thirty-three".