1331301120 has 288 divisors, whose sum is σ = 4556321280. Its totient is φ = 330301440.

The previous prime is 1331301089. The next prime is 1331301131. The reversal of 1331301120 is 211031331.

It is a super-2 number, since 2×1331301120² = 3544725344226508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331301120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5180032 + ... + 5180288.

It is an arithmetic number, because the mean of its divisors is an integer number (15820560).

Almost surely, 2^1331301120 is an apocalyptic number.

1331301120 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 1331301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278160640).

1331301120 is an abundant number, since it is smaller than the sum of its proper divisors (3225020160).

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

1331301120 is a wasteful number, since it uses less digits than its factorization.

1331301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1331301120 is about 36486.9993285280. Note that the first 3 decimals coincide. The cubic root of 1331301120 is about 1100.0829469132.

Adding to 1331301120 its reverse (211031331), we get a palindrome (1542332451).

The spelling of 1331301120 in words is "one billion, three hundred thirty-one million, three hundred one thousand, one hundred twenty".