1331320144 has 80 divisors (see below), whose sum is σ = 3276754560. Its totient is φ = 508884480.

The previous prime is 1331320129. The next prime is 1331320153. The reversal of 1331320144 is 4410231331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55102 + ... + 75490.

It is an arithmetic number, because the mean of its divisors is an integer number (40959432).

Almost surely, 2^1331320144 is an apocalyptic number.

1331320144 is a gapful number since it is divisible by the number (14) 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 1331320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638377280).

1331320144 is an abundant number, since it is smaller than the sum of its proper divisors (1945434416).

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

1331320144 is a wasteful number, since it uses less digits than its factorization.

1331320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20468 (or 20462 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1331320144 is about 36487.2600231917. The cubic root of 1331320144 is about 1100.0881868693.

Adding to 1331320144 its reverse (4410231331), we get a palindrome (5741551475).

The spelling of 1331320144 in words is "one billion, three hundred thirty-one million, three hundred twenty thousand, one hundred forty-four".