101073313 has 16 divisors (see below), whose sum is σ = 118739520. Its totient is φ = 85004800.

The previous prime is 101073283. The next prime is 101073337. The reversal of 101073313 is 313370101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101073313 - 2¹⁷ = 100942241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101073353) 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, 6453 + ... + 15613.

It is an arithmetic number, because the mean of its divisors is an integer number (7421220).

Almost surely, 2^101073313 is an apocalyptic number.

It is an amenable number.

101073313 is a deficient number, since it is larger than the sum of its proper divisors (17666207).

101073313 is a wasteful number, since it uses less digits than its factorization.

101073313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 101073313 is about 10053.5224175410. The cubic root of 101073313 is about 465.8136031773.

The spelling of 101073313 in words is "one hundred one million, seventy-three thousand, three hundred thirteen".