10142144313 has 48 divisors (see below), whose sum is σ = 16069294080. Its totient is φ = 5671965600.

The previous prime is 10142144281. The next prime is 10142144317. The reversal of 10142144313 is 31344124101.

10142144313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142144313 - 2⁵ = 10142144281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142144317) 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 47 ways as a sum of consecutive naturals, for example, 1447248 + ... + 1454238.

It is an arithmetic number, because the mean of its divisors is an integer number (334776960).

Almost surely, 2^10142144313 is an apocalyptic number.

It is an amenable number.

10142144313 is a deficient number, since it is larger than the sum of its proper divisors (5927149767).

10142144313 is a wasteful number, since it uses less digits than its factorization.

10142144313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10142144313 its reverse (31344124101), we get a palindrome (41486268414).

The spelling of 10142144313 in words is "ten billion, one hundred forty-two million, one hundred forty-four thousand, three hundred thirteen".