1331095920 has 640 divisors, whose sum is σ = 5759631360. Its totient is φ = 245514240.

The previous prime is 1331095907. The next prime is 1331095933. The reversal of 1331095920 is 295901331.

It is an interprime number because it is at equal distance from previous prime (1331095907) and next prime (1331095933).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5968929 + ... + 5969151.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^1331095920 is an apocalyptic number.

1331095920 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 1331095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879815680).

1331095920 is an abundant number, since it is smaller than the sum of its proper divisors (4428535440).

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

1331095920 is a wasteful number, since it uses less digits than its factorization.

1331095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 1331095920 is about 36484.1872596883. The cubic root of 1331095920 is about 1100.0264236077.

The spelling of 1331095920 in words is "one billion, three hundred thirty-one million, ninety-five thousand, nine hundred twenty".