13541244000312 has 384 divisors, whose sum is σ = 43759789747200. Its totient is φ = 3411170205696.

The previous prime is 13541244000211. The next prime is 13541244000313. The reversal of 13541244000312 is 21300044214531.

It is a self number, because there is not a number n which added to its sum of digits gives 13541244000312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13541244000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51480264 + ... + 51742632.

It is an arithmetic number, because the mean of its divisors is an integer number (113957785800).

Almost surely, 2^{13541244000312} is an apocalyptic number.

13541244000312 is a gapful number since it is divisible by the number (12) 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 13541244000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879894873600).

13541244000312 is an abundant number, since it is smaller than the sum of its proper divisors (30218545746888).

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

13541244000312 is a wasteful number, since it uses less digits than its factorization.

13541244000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262483 (or 262460 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13541244000312 its reverse (21300044214531), we get a palindrome (34841288214843).

The spelling of 13541244000312 in words is "thirteen trillion, five hundred forty-one billion, two hundred forty-four million, three hundred twelve", and thus it is an aban number.