1331523541200 has 120 divisors (see below), whose sum is σ = 4267048006528. Its totient is φ = 354928573440.

The previous prime is 1331523541147. The next prime is 1331523541219. The reversal of 1331523541200 is 21453251331.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2743257 + ... + 3191943.

Almost surely, 2^{1331523541200} is an apocalyptic number.

1331523541200 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 1331523541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133524003264).

1331523541200 is an abundant number, since it is smaller than the sum of its proper divisors (2935524465328).

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

1331523541200 is a wasteful number, since it uses less digits than its factorization.

1331523541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451181 (or 451170 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 1331523541200 its reverse (21453251331), we get a palindrome (1352976792531).

The spelling of 1331523541200 in words is "one trillion, three hundred thirty-one billion, five hundred twenty-three million, five hundred forty-one thousand, two hundred".