11134334103120 has 160 divisors (see below), whose sum is σ = 39674064268800. Its totient is φ = 2866771063296.

The previous prime is 11134334103119. The next prime is 11134334103187. The reversal of 11134334103120 is 2130143343111.

11134334103120 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 3 + 341 + 0 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88812952 + ... + 88938231.

It is an arithmetic number, because the mean of its divisors is an integer number (247962901680).

Almost surely, 2^{11134334103120} is an apocalyptic number.

11134334103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134334103120 is an abundant number, since it is smaller than the sum of its proper divisors (28539730165680).

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

11134334103120 is a wasteful number, since it uses less digits than its factorization.

11134334103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177751234 (or 177751222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11134334103120 its reverse (2130143343111), we get a palindrome (13264477446231).

The spelling of 11134334103120 in words is "eleven trillion, one hundred thirty-four billion, three hundred thirty-four million, one hundred three thousand, one hundred twenty".