1331332313200 has 120 divisors (see below), whose sum is σ = 3334877268480. Its totient is φ = 510120576000.

The previous prime is 1331332313197. The next prime is 1331332313221. The reversal of 1331332313200 is 23132331331.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1021350 + ... + 1925050.

It is an arithmetic number, because the mean of its divisors is an integer number (27790643904).

Almost surely, 2^{1331332313200} is an apocalyptic number.

1331332313200 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 1331332313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667438634240).

1331332313200 is an abundant number, since it is smaller than the sum of its proper divisors (2003544955280).

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

1331332313200 is a wasteful number, since it uses less digits than its factorization.

1331332313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903875 (or 903864 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1331332313200 its reverse (23132331331), we get a palindrome (1354464644531).

The spelling of 1331332313200 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred thirteen thousand, two hundred".