1001013312103 has 16 divisors (see below), whose sum is σ = 1145712476160. Its totient is φ = 856739373696.

The previous prime is 1001013312077. The next prime is 1001013312107. The reversal of 1001013312103 is 3012133101001.

1001013312103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001013312103 - 2³⁷ = 863574358631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001013312107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13683738 + ... + 13756696.

It is an arithmetic number, because the mean of its divisors is an integer number (71607029760).

Almost surely, 2^{1001013312103} is an apocalyptic number.

1001013312103 is a deficient number, since it is larger than the sum of its proper divisors (144699164057).

1001013312103 is a wasteful number, since it uses less digits than its factorization.

1001013312103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75846.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001013312103 its reverse (3012133101001), we get a palindrome (4013146413104).

The spelling of 1001013312103 in words is "one trillion, one billion, thirteen million, three hundred twelve thousand, one hundred three".