1003011311312 has 20 divisors (see below), whose sum is σ = 1944209466276. Its totient is φ = 501279836160.

The previous prime is 1003011311261. The next prime is 1003011311329. The reversal of 1003011311312 is 2131131103001.

It can be written as a sum of positive squares in 2 ways, for example, as 899394276496 + 103617034816 = 948364^2 + 321896^2 .

It is a super-3 number, since 3×1003011311312³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14077073 + ... + 14148144.

Almost surely, 2^{1003011311312} is an apocalyptic number.

It is an amenable number.

1003011311312 is a deficient number, since it is larger than the sum of its proper divisors (941198154964).

1003011311312 is a wasteful number, since it uses less digits than its factorization.

1003011311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28227446 (or 28227440 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1003011311312 its reverse (2131131103001), we get a palindrome (3134142414313).

The spelling of 1003011311312 in words is "one trillion, three billion, eleven million, three hundred eleven thousand, three hundred twelve".