1023132321 has 24 divisors (see below), whose sum is σ = 1505272704. Its totient is φ = 669483360.

The previous prime is 1023132293. The next prime is 1023132353. The reversal of 1023132321 is 1232313201.

It is not a de Polignac number, because 1023132321 - 2²⁵ = 989577889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023132294 and 1023132303.

It is not an unprimeable number, because it can be changed into a prime (1023132371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 298600 + ... + 302006.

It is an arithmetic number, because the mean of its divisors is an integer number (62719696).

Almost surely, 2^1023132321 is an apocalyptic number.

It is an amenable number.

1023132321 is a deficient number, since it is larger than the sum of its proper divisors (482140383).

1023132321 is a wasteful number, since it uses less digits than its factorization.

1023132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023132321 is about 31986.4396424485. The cubic root of 1023132321 is about 1007.6520701357.

Adding to 1023132321 its reverse (1232313201), we get a palindrome (2255445522).

The spelling of 1023132321 in words is "one billion, twenty-three million, one hundred thirty-two thousand, three hundred twenty-one".