11002013100 has 216 divisors, whose sum is σ = 37482965520. Its totient is φ = 2683031040.

The previous prime is 11002013093. The next prime is 11002013129. The reversal of 11002013100 is 131020011.

It is a super-2 number, since 2×11002013100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1270987 + ... + 1279613.

Almost surely, 2^11002013100 is an apocalyptic number.

11002013100 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 11002013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741482760).

11002013100 is an abundant number, since it is smaller than the sum of its proper divisors (26480952420).

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

11002013100 is a wasteful number, since it uses less digits than its factorization.

11002013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11002013100 its reverse (131020011), we get a palindrome (11133033111).

The spelling of 11002013100 in words is "eleven billion, two million, thirteen thousand, one hundred".