1331144120 has 64 divisors (see below), whose sum is σ = 3073403520. Its totient is φ = 518603904.

The previous prime is 1331144119. The next prime is 1331144147. The reversal of 1331144120 is 214411331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1331144092 and 1331144101.

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, 761087 + ... + 762833.

It is an arithmetic number, because the mean of its divisors is an integer number (48021930).

Almost surely, 2^1331144120 is an apocalyptic number.

1331144120 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 1331144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536701760).

1331144120 is an abundant number, since it is smaller than the sum of its proper divisors (1742259400).

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

1331144120 is a wasteful number, since it uses less digits than its factorization.

1331144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1331144120 is about 36484.8478138528. The cubic root of 1331144120 is about 1100.0397010464.

Adding to 1331144120 its reverse (214411331), we get a palindrome (1545555451).

The spelling of 1331144120 in words is "one billion, three hundred thirty-one million, one hundred forty-four thousand, one hundred twenty".