1002131131013 has 16 divisors (see below), whose sum is σ = 1054345766400. Its totient is φ = 951096444480.

The previous prime is 1002131131007. The next prime is 1002131131021. The reversal of 1002131131013 is 3101311312001.

1002131131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002131131013 - 2¹⁴ = 1002131114629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002131130982 and 1002131131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131131093) 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, 38147303 + ... + 38173563.

It is an arithmetic number, because the mean of its divisors is an integer number (65896610400).

Almost surely, 2^{1002131131013} is an apocalyptic number.

It is an amenable number.

1002131131013 is a deficient number, since it is larger than the sum of its proper divisors (52214635387).

1002131131013 is a wasteful number, since it uses less digits than its factorization.

1002131131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48652.

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

Adding to 1002131131013 its reverse (3101311312001), we get a palindrome (4103442443014).

The spelling of 1002131131013 in words is "one trillion, two billion, one hundred thirty-one million, one hundred thirty-one thousand, thirteen".