13312354885500 has 768 divisors, whose sum is σ = 45302157508608. Its totient is φ = 3005291520000.

The previous prime is 13312354885483. The next prime is 13312354885507. The reversal of 13312354885500 is 558845321331.

It is a super-2 number, since 2×13312354885500² (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 13312354885500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312354885507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5760429345 + ... + 5760431655.

It is an arithmetic number, because the mean of its divisors is an integer number (58987184256).

Almost surely, 2^{13312354885500} is an apocalyptic number.

13312354885500 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 13312354885500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651078754304).

13312354885500 is an abundant number, since it is smaller than the sum of its proper divisors (31989802623108).

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

13312354885500 is a wasteful number, since it uses less digits than its factorization.

13312354885500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 13312354885500 in words is "thirteen trillion, three hundred twelve billion, three hundred fifty-four million, eight hundred eighty-five thousand, five hundred".