1001321123013 has 20 divisors (see below), whose sum is σ = 1496599528908. Its totient is φ = 667190908800.

The previous prime is 1001321122999. The next prime is 1001321123017. The reversal of 1001321123013 is 3103211231001.

1001321123013 is a `hidden beast` number, since 100 + 1 + 321 + 1 + 230 + 13 = 666.

1001321123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28744489764 + 972576633249 = 169542^2 + 986193^2 .

It is not a de Polignac number, because 1001321123013 - 2²² = 1001316928709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001321123017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3148338 + ... + 3451763.

Almost surely, 2^{1001321123013} is an apocalyptic number.

It is an amenable number.

1001321123013 is a deficient number, since it is larger than the sum of its proper divisors (495278405895).

1001321123013 is an equidigital number, since it uses as much as digits as its factorization.

1001321123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601986 (or 6601977 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001321123013 its reverse (3103211231001), we get a palindrome (4104532354014).

It can be divided in two parts, 10013211 and 23013, that added together give a square (10036224 = 3168²).

The spelling of 1001321123013 in words is "one trillion, one billion, three hundred twenty-one million, one hundred twenty-three thousand, thirteen".