13111113300 has 72 divisors (see below), whose sum is σ = 38001067776. Its totient is φ = 3490191360.

The previous prime is 13111113299. The next prime is 13111113307. The reversal of 13111113300 is 331111131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13111113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111113307) 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 23 ways as a sum of consecutive naturals, for example, 135229 + ... + 210971.

It is an arithmetic number, because the mean of its divisors is an integer number (527792608).

Almost surely, 2^13111113300 is an apocalyptic number.

13111113300 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 13111113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000533888).

13111113300 is an abundant number, since it is smaller than the sum of its proper divisors (24889954476).

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

13111113300 is a wasteful number, since it uses less digits than its factorization.

13111113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76337 (or 76330 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13111113300 its reverse (331111131), we get a palindrome (13442224431).

The spelling of 13111113300 in words is "thirteen billion, one hundred eleven million, one hundred thirteen thousand, three hundred".