11334133101100 has 72 divisors (see below), whose sum is σ = 26549399792160. Its totient is φ = 4187002068480.

The previous prime is 11334133101041. The next prime is 11334133101101. The reversal of 11334133101100 is 110133143311.

It is not an unprimeable number, because it can be changed into a prime (11334133101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84896817 + ... + 85030216.

It is an arithmetic number, because the mean of its divisors is an integer number (368741663780).

Almost surely, 2^{11334133101100} is an apocalyptic number.

11334133101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11334133101100 is an abundant number, since it is smaller than the sum of its proper divisors (15215266691060).

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

11334133101100 is a wasteful number, since it uses less digits than its factorization.

11334133101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169927099 (or 169927092 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11334133101100 its reverse (110133143311), we get a palindrome (11444266244411).

The spelling of 11334133101100 in words is "eleven trillion, three hundred thirty-four billion, one hundred thirty-three million, one hundred one thousand, one hundred".