13141034340 has 192 divisors, whose sum is σ = 44590694400. Its totient is φ = 2822805504.

The previous prime is 13141034303. The next prime is 13141034359. The reversal of 13141034340 is 4343014131.

It is a self number, because there is not a number n which added to its sum of digits gives 13141034340.

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, 9131341 + ... + 9132779.

It is an arithmetic number, because the mean of its divisors is an integer number (232243200).

Almost surely, 2^13141034340 is an apocalyptic number.

13141034340 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 13141034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295347200).

13141034340 is an abundant number, since it is smaller than the sum of its proper divisors (31449660060).

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

13141034340 is a wasteful number, since it uses less digits than its factorization.

13141034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13141034340 its reverse (4343014131), we get a palindrome (17484048471).

The spelling of 13141034340 in words is "thirteen billion, one hundred forty-one million, thirty-four thousand, three hundred forty".