9013913101 has 8 divisors (see below), whose sum is σ = 9744771680. Its totient is φ = 8308698768.

The previous prime is 9013913039. The next prime is 9013913123. The reversal of 9013913101 is 1013193109.

9013913101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9013913101 - 2¹⁵ = 9013880333 is a prime.

It is a super-3 number, since 3×9013913101³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9013913101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9013913191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6410331 + ... + 6411736.

It is an arithmetic number, because the mean of its divisors is an integer number (1218096460).

Almost surely, 2^9013913101 is an apocalyptic number.

It is an amenable number.

9013913101 is a deficient number, since it is larger than the sum of its proper divisors (730858579).

9013913101 is a wasteful number, since it uses less digits than its factorization.

9013913101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822123.

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 9013913101 is about 94941.6299681020. The cubic root of 9013913101 is about 2081.1551384636.

The spelling of 9013913101 in words is "nine billion, thirteen million, nine hundred thirteen thousand, one hundred one".