13138311217152 has 512 divisors, whose sum is σ = 38865505536000. Its totient is φ = 3914677616640.

The previous prime is 13138311217127. The next prime is 13138311217183. The reversal of 13138311217152 is 25171211383131.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×13138311217152² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13138311217152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19936738999 + ... + 19936739657.

It is an arithmetic number, because the mean of its divisors is an integer number (75909190500).

Almost surely, 2^{13138311217152} is an apocalyptic number.

13138311217152 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 13138311217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432752768000).

13138311217152 is an abundant number, since it is smaller than the sum of its proper divisors (25727194318848).

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

13138311217152 is a wasteful number, since it uses less digits than its factorization.

13138311217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 957 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The spelling of 13138311217152 in words is "thirteen trillion, one hundred thirty-eight billion, three hundred eleven million, two hundred seventeen thousand, one hundred fifty-two".