42002131013 has 16 divisors (see below), whose sum is σ = 44670890880. Its totient is φ = 39355693056.

The previous prime is 42002130997. The next prime is 42002131021. The reversal of 42002131013 is 31013120024.

It is not a de Polignac number, because 42002131013 - 2⁴ = 42002130997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42002130982 and 42002131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002131033) 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, 4844120 + ... + 4852782.

It is an arithmetic number, because the mean of its divisors is an integer number (2791930680).

Almost surely, 2^42002131013 is an apocalyptic number.

It is an amenable number.

42002131013 is a deficient number, since it is larger than the sum of its proper divisors (2668759867).

42002131013 is a wasteful number, since it uses less digits than its factorization.

42002131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 42002131013 its reverse (31013120024), we get a palindrome (73015251037).

The spelling of 42002131013 in words is "forty-two billion, two million, one hundred thirty-one thousand, thirteen".