13121242134 has 192 divisors, whose sum is σ = 35680186368. Its totient is φ = 3123619200.

The previous prime is 13121242103. The next prime is 13121242157. The reversal of 13121242134 is 43124212131.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 12726199 + ... + 12727229.

It is an arithmetic number, because the mean of its divisors is an integer number (185834304).

Almost surely, 2^13121242134 is an apocalyptic number.

13121242134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121242134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840093184).

13121242134 is an abundant number, since it is smaller than the sum of its proper divisors (22558944234).

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

13121242134 is a wasteful number, since it uses less digits than its factorization.

13121242134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

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

Adding to 13121242134 its reverse (43124212131), we get a palindrome (56245454265).

It can be divided in two parts, 13121 and 242134, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 13121242134 in words is "thirteen billion, one hundred twenty-one million, two hundred forty-two thousand, one hundred thirty-four".