1413312133200 has 120 divisors (see below), whose sum is σ = 4938883537056. Its totient is φ = 342621120000.

The previous prime is 1413312133171. The next prime is 1413312133231. The reversal of 1413312133200 is 23312133141.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53521351 + ... + 53547750.

Almost surely, 2^{1413312133200} is an apocalyptic number.

1413312133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413312133200 is an abundant number, since it is smaller than the sum of its proper divisors (3525571403856).

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

1413312133200 is a wasteful number, since it uses less digits than its factorization.

1413312133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107069133 (or 107069122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1413312133200 its reverse (23312133141), we get a palindrome (1436624266341).

The spelling of 1413312133200 in words is "one trillion, four hundred thirteen billion, three hundred twelve million, one hundred thirty-three thousand, two hundred".