13354002531120 has 160 divisors (see below), whose sum is σ = 43581113844480. Its totient is φ = 3373263774720.

The previous prime is 13354002531097. The next prime is 13354002531161. The reversal of 13354002531120 is 2113520045331.

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 31 ways as a sum of consecutive naturals, for example, 41596015 + ... + 41915825.

It is an arithmetic number, because the mean of its divisors is an integer number (272381961528).

Almost surely, 2^{13354002531120} is an apocalyptic number.

13354002531120 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 13354002531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790556922240).

13354002531120 is an abundant number, since it is smaller than the sum of its proper divisors (30227111313360).

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

13354002531120 is a wasteful number, since it uses less digits than its factorization.

13354002531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329003 (or 328997 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13354002531120 its reverse (2113520045331), we get a palindrome (15467522576451).

The spelling of 13354002531120 in words is "thirteen trillion, three hundred fifty-four billion, two million, five hundred thirty-one thousand, one hundred twenty".