101314033 has 16 divisors (see below), whose sum is σ = 110496960. Its totient is φ = 92532736.

The previous prime is 101314021. The next prime is 101314039. The reversal of 101314033 is 330413101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101314033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101313998 and 101314016.

It is not an unprimeable number, because it can be changed into a prime (101314039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82641 + ... + 83857.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^101314033 is an apocalyptic number.

It is an amenable number.

101314033 is a deficient number, since it is larger than the sum of its proper divisors (9182927).

101314033 is a wasteful number, since it uses less digits than its factorization.

101314033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376.

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

The square root of 101314033 is about 10065.4872211930. The cubic root of 101314033 is about 466.1831097154.

Adding to 101314033 its reverse (330413101), we get a palindrome (431727134).

The spelling of 101314033 in words is "one hundred one million, three hundred fourteen thousand, thirty-three".