11002100001300 has 108 divisors (see below), whose sum is σ = 34583164777980. Its totient is φ = 2925581936640.

The previous prime is 11002100001259. The next prime is 11002100001307. The reversal of 11002100001300 is 310000120011.

It can be written as a sum of positive squares in 6 ways, for example, as 562041093636 + 10440058907664 = 749694^2 + 3231108^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002100001307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16997535 + ... + 17632934.

It is an arithmetic number, because the mean of its divisors is an integer number (320214488685).

Almost surely, 2^{11002100001300} is an apocalyptic number.

11002100001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002100001300 is an abundant number, since it is smaller than the sum of its proper divisors (23581064776680).

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

11002100001300 is a wasteful number, since it uses less digits than its factorization.

11002100001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34630842 (or 34630832 counting only the distinct ones).

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

Adding to 11002100001300 its reverse (310000120011), we get a palindrome (11312100121311).

The spelling of 11002100001300 in words is "eleven trillion, two billion, one hundred million, one thousand, three hundred".