13388234148300 has 288 divisors, whose sum is σ = 43301601520128. Its totient is φ = 3165536000000.

The previous prime is 13388234148277. The next prime is 13388234148347. The reversal of 13388234148300 is 384143288331.

It is a self number, because there is not a number n which added to its sum of digits gives 13388234148300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529145650 + ... + 529170950.

It is an arithmetic number, because the mean of its divisors is an integer number (150352783056).

Almost surely, 2^{13388234148300} is an apocalyptic number.

13388234148300 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 13388234148300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650800760064).

13388234148300 is an abundant number, since it is smaller than the sum of its proper divisors (29913367371828).

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

13388234148300 is a wasteful number, since it uses less digits than its factorization.

13388234148300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29281 (or 29274 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 13388234148300 in words is "thirteen trillion, three hundred eighty-eight billion, two hundred thirty-four million, one hundred forty-eight thousand, three hundred".