13121133133200 has 60 divisors (see below), whose sum is σ = 42031363140528. Its totient is φ = 3498968835200.

The previous prime is 13121133133193. The next prime is 13121133133259. The reversal of 13121133133200 is 233133112131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 5467137606 + ... + 5467140005.

Almost surely, 2^{13121133133200} is an apocalyptic number.

13121133133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121133133200 is an abundant number, since it is smaller than the sum of its proper divisors (28910230007328).

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

13121133133200 is a wasteful number, since it uses less digits than its factorization.

13121133133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934277632 (or 10934277621 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13121133133200 its reverse (233133112131), we get a palindrome (13354266245331).

The spelling of 13121133133200 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred".