13413133413120 has 576 divisors, whose sum is σ = 49546756224000. Its totient is φ = 3029114880000.

The previous prime is 13413133413109. The next prime is 13413133413137. The reversal of 13413133413120 is 2131433131431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1354720170 + ... + 1354730070.

It is an arithmetic number, because the mean of its divisors is an integer number (86018674000).

Almost surely, 2^{13413133413120} is an apocalyptic number.

13413133413120 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 13413133413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773378112000).

13413133413120 is an abundant number, since it is smaller than the sum of its proper divisors (36133622810880).

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

13413133413120 is a wasteful number, since it uses less digits than its factorization.

13413133413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 13413133413120 its reverse (2131433131431), we get a palindrome (15544566544551).

The spelling of 13413133413120 in words is "thirteen trillion, four hundred thirteen billion, one hundred thirty-three million, four hundred thirteen thousand, one hundred twenty".