13310013101 has 32 divisors (see below), whose sum is σ = 17359660800. Its totient is φ = 9901140480.

The previous prime is 13310013097. The next prime is 13310013121. The reversal of 13310013101 is 10131001331.

It is a happy number.

It is not a de Polignac number, because 13310013101 - 2² = 13310013097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165251 + ... + 232223.

It is an arithmetic number, because the mean of its divisors is an integer number (542489400).

Almost surely, 2^13310013101 is an apocalyptic number.

13310013101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13310013101 is a deficient number, since it is larger than the sum of its proper divisors (4049647699).

13310013101 is a wasteful number, since it uses less digits than its factorization.

13310013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67109.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13310013101 its reverse (10131001331), we get a palindrome (23441014432).

The spelling of 13310013101 in words is "thirteen billion, three hundred ten million, thirteen thousand, one hundred one".