1111101300 has 180 divisors, whose sum is σ = 3814091820. Its totient is φ = 278830080.

The previous prime is 1111101293. The next prime is 1111101301. The reversal of 1111101300 is 31011111.

It can be written as a sum of positive squares in 6 ways, for example, as 140280336 + 970820964 = 11844^2 + 31158^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111101301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 133666 + ... + 141734.

It is an arithmetic number, because the mean of its divisors is an integer number (21189399).

Almost surely, 2^1111101300 is an apocalyptic number.

1111101300 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 1111101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907045910).

1111101300 is an abundant number, since it is smaller than the sum of its proper divisors (2702990520).

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

1111101300 is a wasteful number, since it uses less digits than its factorization.

1111101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1111101300 is about 33333.1861663418. The cubic root of 1111101300 is about 1035.7411201020.

Adding to 1111101300 its reverse (31011111), we get a palindrome (1142112411).

The spelling of 1111101300 in words is "one billion, one hundred eleven million, one hundred one thousand, three hundred".