13042142120 has 128 divisors (see below), whose sum is σ = 34187788800. Its totient is φ = 4385664000.

The previous prime is 13042142101. The next prime is 13042142137. The reversal of 13042142120 is 2124124031.

13042142120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13042142092 and 13042142101.

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, 3080405 + ... + 3084635.

It is an arithmetic number, because the mean of its divisors is an integer number (267092100).

Almost surely, 2^13042142120 is an apocalyptic number.

13042142120 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 13042142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093894400).

13042142120 is an abundant number, since it is smaller than the sum of its proper divisors (21145646680).

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

13042142120 is a wasteful number, since it uses less digits than its factorization.

13042142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13042142120 its reverse (2124124031), we get a palindrome (15166266151).

The spelling of 13042142120 in words is "thirteen billion, forty-two million, one hundred forty-two thousand, one hundred twenty".