2013132133200 has 120 divisors (see below), whose sum is σ = 6788140357600. Its totient is φ = 508580743680.

The previous prime is 2013132133141. The next prime is 2013132133237. The reversal of 2013132133200 is 23312313102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44124835 + ... + 44170434.

Almost surely, 2^{2013132133200} is an apocalyptic number.

2013132133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013132133200 is an abundant number, since it is smaller than the sum of its proper divisors (4775008224400).

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

2013132133200 is a wasteful number, since it uses less digits than its factorization.

2013132133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88295309 (or 88295298 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2013132133200 its reverse (23312313102), we get a palindrome (2036444446302).

The spelling of 2013132133200 in words is "two trillion, thirteen billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred".