111130001300 has 144 divisors (see below), whose sum is σ = 262461170160. Its totient is φ = 40685568000.

The previous prime is 111130001267. The next prime is 111130001309. The reversal of 111130001300 is 3100031111.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 94961352964 + 16168648336 = 308158^2 + 127156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111130001309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9223280 + ... + 9235320.

It is an arithmetic number, because the mean of its divisors is an integer number (1822647015).

Almost surely, 2^111130001300 is an apocalyptic number.

111130001300 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 111130001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131230585080).

111130001300 is an abundant number, since it is smaller than the sum of its proper divisors (151331168860).

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

111130001300 is a wasteful number, since it uses less digits than its factorization.

111130001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 111130001300 its reverse (3100031111), we get a palindrome (114230032411).

The spelling of 111130001300 in words is "one hundred eleven billion, one hundred thirty million, one thousand, three hundred".