1413311132000 has 192 divisors, whose sum is σ = 3530674090944. Its totient is φ = 555885158400.

The previous prime is 1413311131993. The next prime is 1413311132033. The reversal of 1413311132000 is 2311133141.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 158919554 + ... + 158928446.

It is an arithmetic number, because the mean of its divisors is an integer number (18388927557).

Almost surely, 2^{1413311132000} is an apocalyptic number.

1413311132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413311132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765337045472).

1413311132000 is an abundant number, since it is smaller than the sum of its proper divisors (2117362958944).

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

1413311132000 is an equidigital number, since it uses as much as digits as its factorization.

1413311132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9578 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1413311132000 its reverse (2311133141), we get a palindrome (1415622265141).

The spelling of 1413311132000 in words is "one trillion, four hundred thirteen billion, three hundred eleven million, one hundred thirty-two thousand".