1020132320 has 48 divisors (see below), whose sum is σ = 2433963168. Its totient is φ = 404006400.

The previous prime is 1020132263. The next prime is 1020132343. The reversal of 1020132320 is 232310201.

It is a happy number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1020132295 and 1020132304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15404 + ... + 47723.

It is an arithmetic number, because the mean of its divisors is an integer number (50707566).

Almost surely, 2^1020132320 is an apocalyptic number.

1020132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020132320 is an abundant number, since it is smaller than the sum of its proper divisors (1413830848).

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

1020132320 is a wasteful number, since it uses less digits than its factorization.

1020132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63243 (or 63235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1020132320 is about 31939.5103281187. The cubic root of 1020132320 is about 1006.6662358862. Note that the first 3 decimals are identical.

Adding to 1020132320 its reverse (232310201), we get a palindrome (1252442521).

The spelling of 1020132320 in words is "one billion, twenty million, one hundred thirty-two thousand, three hundred twenty".