13110201120 has 288 divisors, whose sum is σ = 43194404736. Its totient is φ = 3341721600.

The previous prime is 13110201109. The next prime is 13110201131. The reversal of 13110201120 is 2110201131.

It is an interprime number because it is at equal distance from previous prime (13110201109) and next prime (13110201131).

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 = 13110201096 and 13110201105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46655380 + ... + 46655660.

It is an arithmetic number, because the mean of its divisors is an integer number (149980572).

Almost surely, 2^13110201120 is an apocalyptic number.

13110201120 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 13110201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21597202368).

13110201120 is an abundant number, since it is smaller than the sum of its proper divisors (30084203616).

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

13110201120 is a wasteful number, since it uses less digits than its factorization.

13110201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 399 counting only the distinct ones).

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

Adding to 13110201120 its reverse (2110201131), we get a palindrome (15220402251).

The spelling of 13110201120 in words is "thirteen billion, one hundred ten million, two hundred one thousand, one hundred twenty".