13111100100120 has 768 divisors, whose sum is σ = 48779620001280. Its totient is φ = 2783987712000.

The previous prime is 13111100100041. The next prime is 13111100100121. The reversal of 13111100100120 is 2100100111131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13111100100096 and 13111100100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111100100121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 439203195 + ... + 439233045.

It is an arithmetic number, because the mean of its divisors is an integer number (63515130210).

Almost surely, 2^{13111100100120} is an apocalyptic number.

13111100100120 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 13111100100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24389810000640).

13111100100120 is an abundant number, since it is smaller than the sum of its proper divisors (35668519901160).

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

13111100100120 is a wasteful number, since it uses less digits than its factorization.

13111100100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29976 (or 29949 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 13111100100120 its reverse (2100100111131), we get a palindrome (15211200211251).

The spelling of 13111100100120 in words is "thirteen trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred twenty".