11134344032300 has 72 divisors (see below), whose sum is σ = 24546047285760. Its totient is φ = 4383220795200.

The previous prime is 11134344032291. The next prime is 11134344032321. The reversal of 11134344032300 is 323044343111.

It is a happy number.

It is a super-2 number, since 2×11134344032300² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190967 + ... + 4722833.

Almost surely, 2^{11134344032300} is an apocalyptic number.

11134344032300 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 11134344032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273023642880).

11134344032300 is an abundant number, since it is smaller than the sum of its proper divisors (13411703253460).

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

11134344032300 is a wasteful number, since it uses less digits than its factorization.

11134344032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532271 (or 4532264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 11134344032300 its reverse (323044343111), we get a palindrome (11457388375411).

The spelling of 11134344032300 in words is "eleven trillion, one hundred thirty-four billion, three hundred forty-four million, thirty-two thousand, three hundred".