1003132312 has 128 divisors (see below), whose sum is σ = 2406096000. Its totient is φ = 389491200.

The previous prime is 1003132307. The next prime is 1003132313. The reversal of 1003132312 is 2132313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003132313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2175762 + ... + 2176222.

It is an arithmetic number, because the mean of its divisors is an integer number (18797625).

Almost surely, 2^1003132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048000).

1003132312 is an abundant number, since it is smaller than the sum of its proper divisors (1402963688).

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

1003132312 is a wasteful number, since it uses less digits than its factorization.

1003132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1003132312 is about 31672.2640807379. The cubic root of 1003132312 is about 1001.0430157399.

Adding to 1003132312 its reverse (2132313001), we get a palindrome (3135445313).

The spelling of 1003132312 in words is "one billion, three million, one hundred thirty-two thousand, three hundred twelve".