12013134100 has 108 divisors (see below), whose sum is σ = 29429330812. Its totient is φ = 4250188800.

The previous prime is 12013133983. The next prime is 12013134139. The reversal of 12013134100 is 143131021.

It can be written as a sum of positive squares in 6 ways, for example, as 287709444 + 11725424656 = 16962^2 + 108284^2 .

It is a congruent number.

It is an unprimeable number.

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, 434284 + ... + 461116.

Almost surely, 2^12013134100 is an apocalyptic number.

12013134100 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 12013134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714665406).

12013134100 is an abundant number, since it is smaller than the sum of its proper divisors (17416196712).

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

12013134100 is a wasteful number, since it uses less digits than its factorization.

12013134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26906 (or 26888 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12013134100 its reverse (143131021), we get a palindrome (12156265121).

The spelling of 12013134100 in words is "twelve billion, thirteen million, one hundred thirty-four thousand, one hundred".