13134424041300 has 144 divisors (see below), whose sum is σ = 40320325584000. Its totient is φ = 3289713315840.

The previous prime is 13134424041269. The next prime is 13134424041329. The reversal of 13134424041300 is 314042443131.

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

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, 160425 + ... + 5127824.

It is an arithmetic number, because the mean of its divisors is an integer number (280002261000).

Almost surely, 2^{13134424041300} is an apocalyptic number.

13134424041300 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 13134424041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160162792000).

13134424041300 is an abundant number, since it is smaller than the sum of its proper divisors (27185901542700).

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

13134424041300 is a wasteful number, since it uses less digits than its factorization.

13134424041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288770 (or 5288763 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13134424041300 its reverse (314042443131), we get a palindrome (13448466484431).

The spelling of 13134424041300 in words is "thirteen trillion, one hundred thirty-four billion, four hundred twenty-four million, forty-one thousand, three hundred".