10031013013 has 8 divisors (see below), whose sum is σ = 12138368832. Its totient is φ = 8092245696.

The previous prime is 10031012993. The next prime is 10031013017. The reversal of 10031013013 is 31031013001.

It is a happy number.

10031013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10031013013 - 2¹³ = 10031004821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031012984 and 10031013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031013017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42146995 + ... + 42147232.

It is an arithmetic number, because the mean of its divisors is an integer number (1517296104).

Almost surely, 2^10031013013 is an apocalyptic number.

It is an amenable number.

10031013013 is a deficient number, since it is larger than the sum of its proper divisors (2107355819).

10031013013 is an equidigital number, since it uses as much as digits as its factorization.

10031013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84294251.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10031013013 its reverse (31031013001), we get a palindrome (41062026014).

The spelling of 10031013013 in words is "ten billion, thirty-one million, thirteen thousand, thirteen".