1331210320 has 80 divisors (see below), whose sum is σ = 3431923200. Its totient is φ = 476121600.

The previous prime is 1331210299. The next prime is 1331210329. The reversal of 1331210320 is 230121331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1331210294 and 1331210303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331210329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41281 + ... + 66079.

It is an arithmetic number, because the mean of its divisors is an integer number (42899040).

Almost surely, 2^1331210320 is an apocalyptic number.

1331210320 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 1331210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715961600).

1331210320 is an abundant number, since it is smaller than the sum of its proper divisors (2100712880).

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

1331210320 is a wasteful number, since it uses less digits than its factorization.

1331210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24884 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1331210320 is about 36485.7550285039. The cubic root of 1331210320 is about 1100.0579363424.

Adding to 1331210320 its reverse (230121331), we get a palindrome (1561331651).

It can be divided in two parts, 13312 and 10320, that added together give a palindrome (23632).

The spelling of 1331210320 in words is "one billion, three hundred thirty-one million, two hundred ten thousand, three hundred twenty".