9101313 has 24 divisors (see below), whose sum is σ = 14309568. Its totient is φ = 5540832.

The previous prime is 9101293. The next prime is 9101317. The reversal of 9101313 is 3131019.

9101313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9101313 - 2⁶ = 9101249 is a prime.

It is an Ulam number.

9101313 is a modest number, since divided by 1313 gives 910 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9101317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12156 + ... + 12882.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

It is a Proth number, since it is equal to 1111 ⋅ 2¹³ + 1 and 1111 < 2¹³.

Almost surely, 2^9101313 is an apocalyptic number.

It is an amenable number.

9101313 is a deficient number, since it is larger than the sum of its proper divisors (5208255).

9101313 is a wasteful number, since it uses less digits than its factorization.

9101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 9101313 is about 3016.8382455810. The cubic root of 9101313 is about 208.7859885124.

The spelling of 9101313 in words is "nine million, one hundred one thousand, three hundred thirteen".