11314204410300 has 144 divisors (see below), whose sum is σ = 37812434349312. Its totient is φ = 2581494041600.

The previous prime is 11314204410277. The next prime is 11314204410349. The reversal of 11314204410300 is 301440241311.

It is a super-2 number, since 2×11314204410300² (a number of 27 digits) contains 22 as substring.

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, 100783512 + ... + 100895711.

It is an arithmetic number, because the mean of its divisors is an integer number (262586349648).

Almost surely, 2^{11314204410300} is an apocalyptic number.

11314204410300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314204410300 is an abundant number, since it is smaller than the sum of its proper divisors (26498229939012).

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

11314204410300 is a wasteful number, since it uses less digits than its factorization.

11314204410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201679268 (or 201679261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11314204410300 its reverse (301440241311), we get a palindrome (11615644651611).

The spelling of 11314204410300 in words is "eleven trillion, three hundred fourteen billion, two hundred four million, four hundred ten thousand, three hundred".