1003132112312 has 64 divisors (see below), whose sum is σ = 2097144120960. Its totient is φ = 446015056000.

The previous prime is 1003132112303. The next prime is 1003132112399. The reversal of 1003132112312 is 2132112313001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57803 + ... + 1417605.

It is an arithmetic number, because the mean of its divisors is an integer number (32767876890).

Almost surely, 2^{1003132112312} 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 1003132112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048572060480).

1003132112312 is an abundant number, since it is smaller than the sum of its proper divisors (1094012008648).

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

1003132112312 is a wasteful number, since it uses less digits than its factorization.

1003132112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360004 (or 1360000 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1003132112312 its reverse (2132112313001), we get a palindrome (3135244425313).

The spelling of 1003132112312 in words is "one trillion, three billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twelve".