13301010011300 has 144 divisors (see below), whose sum is σ = 32877679693824. Its totient is φ = 4623402960000.

The previous prime is 13301010011297. The next prime is 13301010011327. The reversal of 13301010011300 is 311001010331.

It is a happy number.

It is a super-2 number, since 2×13301010011300² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38562605 + ... + 38905995.

It is an arithmetic number, because the mean of its divisors is an integer number (228317220096).

Almost surely, 2^{13301010011300} is an apocalyptic number.

13301010011300 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 13301010011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438839846912).

13301010011300 is an abundant number, since it is smaller than the sum of its proper divisors (19576669682524).

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

13301010011300 is a wasteful number, since it uses less digits than its factorization.

13301010011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344970 (or 344963 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13301010011300 its reverse (311001010331), we get a palindrome (13612011021631).

The spelling of 13301010011300 in words is "thirteen trillion, three hundred one billion, ten million, eleven thousand, three hundred".