11002113131220 has 144 divisors (see below), whose sum is σ = 33465051389952. Its totient is φ = 2925817090560.

The previous prime is 11002113131213. The next prime is 11002113131237. The reversal of 11002113131220 is 2213131120011.

11002113131220 is a `hidden beast` number, since 1 + 100 + 211 + 3 + 131 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11002113131193 and 11002113131202.

It is a congruent number.

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, 185619309 + ... + 185678571.

It is an arithmetic number, because the mean of its divisors is an integer number (232396190208).

Almost surely, 2^{11002113131220} is an apocalyptic number.

11002113131220 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 11002113131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732525694976).

11002113131220 is an abundant number, since it is smaller than the sum of its proper divisors (22462938258732).

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

11002113131220 is a wasteful number, since it uses less digits than its factorization.

11002113131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62102 (or 62097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11002113131220 its reverse (2213131120011), we get a palindrome (13215244251231).

The spelling of 11002113131220 in words is "eleven trillion, two billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred twenty".