13513362318720 has 384 divisors, whose sum is σ = 51326185416480. Its totient is φ = 3275964764160.

The previous prime is 13513362318679. The next prime is 13513362318721. The reversal of 13513362318720 is 2781326331531.

13513362318720 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 3 + 623 + 18 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13513362318720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513362318721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6785242 + ... + 8547878.

Almost surely, 2^{13513362318720} is an apocalyptic number.

13513362318720 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 13513362318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25663092708240).

13513362318720 is an abundant number, since it is smaller than the sum of its proper divisors (37812823097760).

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

13513362318720 is a wasteful number, since it uses less digits than its factorization.

13513362318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762695 (or 1762658 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13513362318720 in words is "thirteen trillion, five hundred thirteen billion, three hundred sixty-two million, three hundred eighteen thousand, seven hundred twenty".