1003021011312 has 40 divisors (see below), whose sum is σ = 2591182368000. Its totient is φ = 334334562240.

The previous prime is 1003021011277. The next prime is 1003021011319. The reversal of 1003021011312 is 2131101203001.

It is a happy number.

It is a super-2 number, since 2×1003021011312² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003021011291 and 1003021011300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003021011319) 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 7 ways as a sum of consecutive naturals, for example, 3332439 + ... + 3620937.

It is an arithmetic number, because the mean of its divisors is an integer number (64779559200).

Almost surely, 2^{1003021011312} is an apocalyptic number.

1003021011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003021011312 is an abundant number, since it is smaller than the sum of its proper divisors (1588161356688).

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

1003021011312 is a wasteful number, since it uses less digits than its factorization.

1003021011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360941 (or 360935 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1003021011312 its reverse (2131101203001), we get a palindrome (3134122214313).

The spelling of 1003021011312 in words is "one trillion, three billion, twenty-one million, eleven thousand, three hundred twelve".