11001300100 has 144 divisors (see below), whose sum is σ = 29434866048. Its totient is φ = 3482818560.

The previous prime is 11001300097. The next prime is 11001300109. The reversal of 11001300100 is 100310011.

It is a happy number.

It is a super-3 number, since 3×11001300100³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (11001300109) 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, 621979 + ... + 639421.

It is an arithmetic number, because the mean of its divisors is an integer number (204408792).

Almost surely, 2^11001300100 is an apocalyptic number.

11001300100 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 11001300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717433024).

11001300100 is an abundant number, since it is smaller than the sum of its proper divisors (18433565948).

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

11001300100 is a wasteful number, since it uses less digits than its factorization.

11001300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17527 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11001300100 its reverse (100310011), we get a palindrome (11101610111).

The spelling of 11001300100 in words is "eleven billion, one million, three hundred thousand, one hundred".