13410121133340 has 144 divisors (see below), whose sum is σ = 41288140647936. Its totient is φ = 3522430396800.

The previous prime is 13410121133291. The next prime is 13410121133363. The reversal of 13410121133340 is 4333112101431.

13410121133340 is a `hidden beast` number, since 1 + 3 + 4 + 101 + 211 + 3 + 3 + 340 = 666.

It is a super-3 number, since 3×13410121133340³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13462089 + ... + 14423871.

It is an arithmetic number, because the mean of its divisors is an integer number (286723198944).

Almost surely, 2^{13410121133340} is an apocalyptic number.

13410121133340 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 13410121133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644070323968).

13410121133340 is an abundant number, since it is smaller than the sum of its proper divisors (27878019514596).

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

13410121133340 is a wasteful number, since it uses less digits than its factorization.

13410121133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962960 (or 962955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13410121133340 its reverse (4333112101431), we get a palindrome (17743233234771).

The spelling of 13410121133340 in words is "thirteen trillion, four hundred ten billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred forty".