10031111313 has 8 divisors (see below), whose sum is σ = 14078752800. Its totient is φ = 6335438688.

The previous prime is 10031111287. The next prime is 10031111323. The reversal of 10031111313 is 31311113001.

10031111313 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 not a de Polignac number, because 10031111313 - 2⁹ = 10031110801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031111292 and 10031111301.

It is not an unprimeable number, because it can be changed into a prime (10031111323) 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, 87992148 + ... + 87992261.

It is an arithmetic number, because the mean of its divisors is an integer number (1759844100).

Almost surely, 2^10031111313 is an apocalyptic number.

It is an amenable number.

10031111313 is a deficient number, since it is larger than the sum of its proper divisors (4047641487).

10031111313 is a wasteful number, since it uses less digits than its factorization.

10031111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175984431.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10031111313 its reverse (31311113001), we get a palindrome (41342224314).

The spelling of 10031111313 in words is "ten billion, thirty-one million, one hundred eleven thousand, three hundred thirteen".