1331830920 has 64 divisors (see below), whose sum is σ = 4566280320. Its totient is φ = 304418304.

The previous prime is 1331830919. The next prime is 1331830931. The reversal of 1331830920 is 290381331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791917 + ... + 793596.

It is an arithmetic number, because the mean of its divisors is an integer number (71348130).

Almost surely, 2^1331830920 is an apocalyptic number.

1331830920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331830920 is an abundant number, since it is smaller than the sum of its proper divisors (3234449400).

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

1331830920 is a wasteful number, since it uses less digits than its factorization.

1331830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585534 (or 1585530 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1331830920 is about 36494.2587265449. The cubic root of 1331830920 is about 1100.2288559643.

The spelling of 1331830920 in words is "one billion, three hundred thirty-one million, eight hundred thirty thousand, nine hundred twenty".