13042124235 has 192 divisors, whose sum is σ = 27561590784. Its totient is φ = 5580057600.

The previous prime is 13042124203. The next prime is 13042124279. The reversal of 13042124235 is 53242124031.

13042124235 is a `hidden beast` number, since 1 + 3 + 0 + 421 + 2 + 4 + 235 = 666.

13042124235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13042124235 - 2⁵ = 13042124203 is a prime.

It is a super-2 number, since 2×13042124235² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13042124199 and 13042124208.

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 191 ways as a sum of consecutive naturals, for example, 72055845 + ... + 72056025.

It is an arithmetic number, because the mean of its divisors is an integer number (143549952).

Almost surely, 2^13042124235 is an apocalyptic number.

13042124235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13042124235 is an abundant number, since it is smaller than the sum of its proper divisors (14519466549).

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

13042124235 is a wasteful number, since it uses less digits than its factorization.

13042124235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13042124235 its reverse (53242124031), we get a palindrome (66284248266).

The spelling of 13042124235 in words is "thirteen billion, forty-two million, one hundred twenty-four thousand, two hundred thirty-five".