10913101101 has 36 divisors (see below), whose sum is σ = 18356217984. Its totient is φ = 6229515600.

The previous prime is 10913101013. The next prime is 10913101139. The reversal of 10913101101 is 10110131901.

10913101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10913101101 - 2¹⁴ = 10913084717 is a prime.

It is a super-3 number, since 3×10913101101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10913101181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424546 + ... + 449516.

It is an arithmetic number, because the mean of its divisors is an integer number (509894944).

Almost surely, 2^10913101101 is an apocalyptic number.

It is an amenable number.

10913101101 is a deficient number, since it is larger than the sum of its proper divisors (7443116883).

10913101101 is a wasteful number, since it uses less digits than its factorization.

10913101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25982 (or 25972 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 10913101101 in words is "ten billion, nine hundred thirteen million, one hundred one thousand, one hundred one".