13041307362720 has 768 divisors, whose sum is σ = 52191497014272. Its totient is φ = 2663550812160.

The previous prime is 13041307362709. The next prime is 13041307362767. The reversal of 13041307362720 is 2726370314031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318363040 + ... + 318404000.

It is an arithmetic number, because the mean of its divisors is an integer number (67957678404).

Almost surely, 2^{13041307362720} is an apocalyptic number.

13041307362720 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 13041307362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26095748507136).

13041307362720 is an abundant number, since it is smaller than the sum of its proper divisors (39150189651552).

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

13041307362720 is a wasteful number, since it uses less digits than its factorization.

13041307362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41233 (or 41225 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

Adding to 13041307362720 its reverse (2726370314031), we get a palindrome (15767677676751).

The spelling of 13041307362720 in words is "thirteen trillion, forty-one billion, three hundred seven million, three hundred sixty-two thousand, seven hundred twenty".