13052444298300 has 288 divisors, whose sum is σ = 45831551592960. Its totient is φ = 3160378252800.

The previous prime is 13052444298193. The next prime is 13052444298307. The reversal of 13052444298300 is 389244425031.

13052444298300 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 4 + 4 + 4 + 298 + 300 = 666.

13052444298300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13052444298307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24176104 + ... + 24710096.

It is an arithmetic number, because the mean of its divisors is an integer number (159137331920).

Almost surely, 2^{13052444298300} is an apocalyptic number.

13052444298300 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 13052444298300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915775796480).

13052444298300 is an abundant number, since it is smaller than the sum of its proper divisors (32779107294660).

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

13052444298300 is a wasteful number, since it uses less digits than its factorization.

13052444298300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534850 (or 534837 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13052444298300 in words is "thirteen trillion, fifty-two billion, four hundred forty-four million, two hundred ninety-eight thousand, three hundred".