11002113313300 has 72 divisors (see below), whose sum is σ = 24703142960160. Its totient is φ = 4248180988800.

The previous prime is 11002113313187. The next prime is 11002113313339. The reversal of 11002113313300 is 331331120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13199527 + ... + 14008273.

It is an arithmetic number, because the mean of its divisors is an integer number (343099207780).

Almost surely, 2^{11002113313300} is an apocalyptic number.

11002113313300 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 11002113313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351571480080).

11002113313300 is an abundant number, since it is smaller than the sum of its proper divisors (13701029646860).

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

11002113313300 is a wasteful number, since it uses less digits than its factorization.

11002113313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813481 (or 813474 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11002113313300 its reverse (331331120011), we get a palindrome (11333444433311).

The spelling of 11002113313300 in words is "eleven trillion, two billion, one hundred thirteen million, three hundred thirteen thousand, three hundred".