13200311345340 has 96 divisors (see below), whose sum is σ = 42263551411200. Its totient is φ = 3015602942976.

The previous prime is 13200311345317. The next prime is 13200311345371. The reversal of 13200311345340 is 4354311300231.

It is a happy number.

13200311345340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13200311345340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13200311345298 and 13200311345307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7603440 + ... + 9176759.

It is an arithmetic number, because the mean of its divisors is an integer number (440245327200).

Almost surely, 2^{13200311345340} is an apocalyptic number.

13200311345340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200311345340 is an abundant number, since it is smaller than the sum of its proper divisors (29063240065860).

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

13200311345340 is a wasteful number, since it uses less digits than its factorization.

13200311345340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16782091 (or 16782089 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13200311345340 its reverse (4354311300231), we get a palindrome (17554622645571).

The spelling of 13200311345340 in words is "thirteen trillion, two hundred billion, three hundred eleven million, three hundred forty-five thousand, three hundred forty".