13200042001300 has 432 divisors, whose sum is σ = 39907862483328. Its totient is φ = 3668463820800.

The previous prime is 13200042001297. The next prime is 13200042001339. The reversal of 13200042001300 is 310024000231.

It is a happy number.

It is a super-2 number, since 2×13200042001300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47115232 + ... + 47394568.

It is an arithmetic number, because the mean of its divisors is an integer number (92379311304).

Almost surely, 2^{13200042001300} is an apocalyptic number.

13200042001300 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 13200042001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953931241664).

13200042001300 is an abundant number, since it is smaller than the sum of its proper divisors (26707820482028).

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

13200042001300 is a wasteful number, since it uses less digits than its factorization.

13200042001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279424 (or 279398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13200042001300 its reverse (310024000231), we get a palindrome (13510066001531).

The spelling of 13200042001300 in words is "thirteen trillion, two hundred billion, forty-two million, one thousand, three hundred".