1331340213300 has 144 divisors (see below), whose sum is σ = 4057057331712. Its totient is φ = 336414320000.

The previous prime is 1331340213271. The next prime is 1331340213311. The reversal of 1331340213300 is 33120431331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163326 + ... + 1639925.

It is an arithmetic number, because the mean of its divisors is an integer number (28174009248).

Almost surely, 2^{1331340213300} is an apocalyptic number.

1331340213300 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 1331340213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028528665856).

1331340213300 is an abundant number, since it is smaller than the sum of its proper divisors (2725717118412).

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

1331340213300 is a wasteful number, since it uses less digits than its factorization.

1331340213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803398 (or 1803391 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1331340213300 its reverse (33120431331), we get a palindrome (1364460644631).

The spelling of 1331340213300 in words is "one trillion, three hundred thirty-one billion, three hundred forty million, two hundred thirteen thousand, three hundred".