13133301141340 has 96 divisors (see below), whose sum is σ = 29476600070400. Its totient is φ = 4900587816960.

The previous prime is 13133301141299. The next prime is 13133301141343. The reversal of 13133301141340 is 4314110333131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13133301141299 and 13133301141308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133301141343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64337356 + ... + 64541164.

It is an arithmetic number, because the mean of its divisors is an integer number (307047917400).

Almost surely, 2^{13133301141340} is an apocalyptic number.

13133301141340 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 13133301141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738300035200).

13133301141340 is an abundant number, since it is smaller than the sum of its proper divisors (16343298929060).

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

13133301141340 is a wasteful number, since it uses less digits than its factorization.

13133301141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206435 (or 206433 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 13133301141340 its reverse (4314110333131), we get a palindrome (17447411474471).

The spelling of 13133301141340 in words is "thirteen trillion, one hundred thirty-three billion, three hundred one million, one hundred forty-one thousand, three hundred forty".