13133015143040 has 128 divisors (see below), whose sum is σ = 33926602928400. Its totient is φ = 4832562511872.

The previous prime is 13133015143037. The next prime is 13133015143057. The reversal of 13133015143040 is 4034151033131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5039809482304 + 8093205660736 = 2244952^2 + 2844856^2 .

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 = 13133015142994 and 13133015143012.

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, 255905 + ... + 5131424.

Almost surely, 2^{13133015143040} is an apocalyptic number.

13133015143040 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 13133015143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963301464200).

13133015143040 is an abundant number, since it is smaller than the sum of its proper divisors (20793587785360).

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

13133015143040 is a wasteful number, since it uses less digits than its factorization.

13133015143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387654 (or 5387642 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13133015143040 its reverse (4034151033131), we get a palindrome (17167166176171).

The spelling of 13133015143040 in words is "thirteen trillion, one hundred thirty-three billion, fifteen million, one hundred forty-three thousand, forty".