13124435303040 has 128 divisors (see below), whose sum is σ = 42724225854720. Its totient is φ = 3425384509440.

The previous prime is 13124435302963. The next prime is 13124435303099. The reversal of 13124435303040 is 4030353442131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13124435302992 and 13124435303010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72629371 + ... + 72809850.

It is an arithmetic number, because the mean of its divisors is an integer number (333783014490).

Almost surely, 2^{13124435303040} is an apocalyptic number.

13124435303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124435303040 is an abundant number, since it is smaller than the sum of its proper divisors (29599790551680).

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

13124435303040 is a wasteful number, since it uses less digits than its factorization.

13124435303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145439290 (or 145439278 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 13124435303040 its reverse (4030353442131), we get a palindrome (17154788745171).

The spelling of 13124435303040 in words is "thirteen trillion, one hundred twenty-four billion, four hundred thirty-five million, three hundred three thousand, forty".