13412135213300 has 72 divisors (see below), whose sum is σ = 29903901470520. Its totient is φ = 5217594048000.

The previous prime is 13412135213221. The next prime is 13412135213339. The reversal of 13412135213300 is 331253121431.

It can be written as a sum of positive squares in 12 ways, for example, as 598327002256 + 12813808211044 = 773516^2 + 3579638^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7758350 + ... + 9328250.

Almost surely, 2^{13412135213300} is an apocalyptic number.

13412135213300 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 13412135213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951950735260).

13412135213300 is an abundant number, since it is smaller than the sum of its proper divisors (16491766257220).

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

13412135213300 is a wasteful number, since it uses less digits than its factorization.

13412135213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572261 (or 1572254 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13412135213300 its reverse (331253121431), we get a palindrome (13743388334731).

The spelling of 13412135213300 in words is "thirteen trillion, four hundred twelve billion, one hundred thirty-five million, two hundred thirteen thousand, three hundred".