13101132111100 has 216 divisors, whose sum is σ = 31423997641680. Its totient is φ = 4737432268800.

The previous prime is 13101132111079. The next prime is 13101132111101. The reversal of 13101132111100 is 111123110131.

It is a super-3 number, since 3×13101132111100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101132111101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1618818654 + ... + 1618826746.

Almost surely, 2^{13101132111100} is an apocalyptic number.

13101132111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101132111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711998820840).

13101132111100 is an abundant number, since it is smaller than the sum of its proper divisors (18322865530580).

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

13101132111100 is a wasteful number, since it uses less digits than its factorization.

13101132111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861 (or 8843 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 13101132111100 its reverse (111123110131), we get a palindrome (13212255221231).

The spelling of 13101132111100 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, one hundred eleven thousand, one hundred".