13120435400200 has 24 divisors (see below), whose sum is σ = 30505012305930. Its totient is φ = 5248174160000.

The previous prime is 13120435400167. The next prime is 13120435400263. The reversal of 13120435400200 is 200453402131.

It can be written as a sum of positive squares in 3 ways, for example, as 9293583937444 + 3826851462756 = 3048538^2 + 1956234^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32801088301 + ... + 32801088700.

Almost surely, 2^{13120435400200} is an apocalyptic number.

13120435400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120435400200 is an abundant number, since it is smaller than the sum of its proper divisors (17384576905730).

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

13120435400200 is a wasteful number, since it uses less digits than its factorization.

13120435400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65602177017 (or 65602177008 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13120435400200 its reverse (200453402131), we get a palindrome (13320888802331).

The spelling of 13120435400200 in words is "thirteen trillion, one hundred twenty billion, four hundred thirty-five million, four hundred thousand, two hundred".