13101623106 has 64 divisors (see below), whose sum is σ = 30827381760. Its totient is φ = 3659653440.

The previous prime is 13101623081. The next prime is 13101623137. The reversal of 13101623106 is 60132610131.

13101623106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 623731 + ... + 644393.

It is an arithmetic number, because the mean of its divisors is an integer number (481677840).

Almost surely, 2^13101623106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101623106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413690880).

13101623106 is an abundant number, since it is smaller than the sum of its proper divisors (17725758654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101623106 is a wasteful number, since it uses less digits than its factorization.

13101623106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 13101623106 in words is "thirteen billion, one hundred one million, six hundred twenty-three thousand, one hundred six".