1003132120312 has 96 divisors (see below), whose sum is σ = 2203262071920. Its totient is φ = 426916224000.

The previous prime is 1003132120283. The next prime is 1003132120327. The reversal of 1003132120312 is 2130212313001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003132120312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33142978 + ... + 33173230.

Almost surely, 2^{1003132120312} 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 1003132120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101631035960).

1003132120312 is an abundant number, since it is smaller than the sum of its proper divisors (1200129951608).

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

1003132120312 is a wasteful number, since it uses less digits than its factorization.

1003132120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30861 (or 30850 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1003132120312 its reverse (2130212313001), we get a palindrome (3133344433313).

The spelling of 1003132120312 in words is "one trillion, three billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twelve".