10442501313 has 16 divisors (see below), whose sum is σ = 14227527936. Its totient is φ = 6809736960.

The previous prime is 10442501263. The next prime is 10442501353. The reversal of 10442501313 is 31310524401.

It is a happy number.

It is not a de Polignac number, because 10442501313 - 2¹² = 10442497217 is a prime.

It is a super-3 number, since 3×10442501313³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10442501353) 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 15 ways as a sum of consecutive naturals, for example, 244323 + ... + 283863.

It is an arithmetic number, because the mean of its divisors is an integer number (889220496).

Almost surely, 2^10442501313 is an apocalyptic number.

It is an amenable number.

10442501313 is a deficient number, since it is larger than the sum of its proper divisors (3785026623).

10442501313 is a wasteful number, since it uses less digits than its factorization.

10442501313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41464.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10442501313 in words is "ten billion, four hundred forty-two million, five hundred one thousand, three hundred thirteen".