10024313313 has 32 divisors (see below), whose sum is σ = 16208584704. Its totient is φ = 5379593472.

The previous prime is 10024313309. The next prime is 10024313323. The reversal of 10024313313 is 31331342001.

It is not a de Polignac number, because 10024313313 - 2² = 10024313309 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10024313313.

It is not an unprimeable number, because it can be changed into a prime (10024313323) 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, 136656 + ... + 196782.

It is an arithmetic number, because the mean of its divisors is an integer number (506518272).

Almost surely, 2^10024313313 is an apocalyptic number.

It is an amenable number.

10024313313 is a deficient number, since it is larger than the sum of its proper divisors (6184271391).

10024313313 is a wasteful number, since it uses less digits than its factorization.

10024313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60621.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10024313313 its reverse (31331342001), we get a palindrome (41355655314).

The spelling of 10024313313 in words is "ten billion, twenty-four million, three hundred thirteen thousand, three hundred thirteen".