13113101 has 8 divisors (see below), whose sum is σ = 13415544. Its totient is φ = 12812800.

The previous prime is 13113091. The next prime is 13113119. The reversal of 13113101 is 10131131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3496900 + 9616201 = 1870^2 + 3101^2 .

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

It is a 5-Lehmer number, since φ(13113101) divides (13113101-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 13113101 - 2¹⁴ = 13096717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113161) 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, 20945 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (1676943).

Almost surely, 2^13113101 is an apocalyptic number.

It is an amenable number.

13113101 is a deficient number, since it is larger than the sum of its proper divisors (302443).

13113101 is an equidigital number, since it uses as much as digits as its factorization.

13113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 13113101 is about 3621.2015961556. The cubic root of 13113101 is about 235.8133938561.

Adding to 13113101 its reverse (10131131), we get a palindrome (23244232).

The spelling of 13113101 in words is "thirteen million, one hundred thirteen thousand, one hundred one".