11301312100 has 144 divisors (see below), whose sum is σ = 28219374400. Its totient is φ = 3893598720.

The previous prime is 11301312031. The next prime is 11301312107. The reversal of 11301312100 is 121310311.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11301312107) 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, 1651486 + ... + 1658314.

Almost surely, 2^11301312100 is an apocalyptic number.

11301312100 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 11301312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14109687200).

11301312100 is an abundant number, since it is smaller than the sum of its proper divisors (16918062300).

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

11301312100 is a wasteful number, since it uses less digits than its factorization.

11301312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11301312100 its reverse (121310311), we get a palindrome (11422622411).

The spelling of 11301312100 in words is "eleven billion, three hundred one million, three hundred twelve thousand, one hundred".