10213124313 has 32 divisors (see below), whose sum is σ = 16456753152. Its totient is φ = 5510044800.

The previous prime is 10213124249. The next prime is 10213124333. The reversal of 10213124313 is 31342131201.

10213124313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10213124313 - 2⁶ = 10213124249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10213124313.

It is not an unprimeable number, because it can be changed into a prime (10213124333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164631 + ... + 218012.

It is an arithmetic number, because the mean of its divisors is an integer number (514273536).

Almost surely, 2^10213124313 is an apocalyptic number.

It is an amenable number.

10213124313 is a deficient number, since it is larger than the sum of its proper divisors (6243628839).

10213124313 is a wasteful number, since it uses less digits than its factorization.

10213124313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382725.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10213124313 its reverse (31342131201), we get a palindrome (41555255514).

The spelling of 10213124313 in words is "ten billion, two hundred thirteen million, one hundred twenty-four thousand, three hundred thirteen".