1100013301100 has 144 divisors (see below), whose sum is σ = 2893538968320. Its totient is φ = 354569529600.

The previous prime is 1100013301099. The next prime is 1100013301183. The reversal of 1100013301100 is 11033100011.

It is a happy number.

It is a super-2 number, since 2×1100013301100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426622 + ... + 2057978.

Almost surely, 2^{1100013301100} is an apocalyptic number.

1100013301100 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 1100013301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446769484160).

1100013301100 is an abundant number, since it is smaller than the sum of its proper divisors (1793525667220).

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

1100013301100 is a wasteful number, since it uses less digits than its factorization.

1100013301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631528 (or 631521 counting only the distinct ones).

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

Adding to 1100013301100 its reverse (11033100011), we get a palindrome (1111046401111).

The spelling of 1100013301100 in words is "one trillion, one hundred billion, thirteen million, three hundred one thousand, one hundred".