10100442413 has 16 divisors (see below), whose sum is σ = 10555246080. Its totient is φ = 9653952000.

The previous prime is 10100442349. The next prime is 10100442419. The reversal of 10100442413 is 31424400101.

It is a cyclic number.

It is not a de Polignac number, because 10100442413 - 2⁶ = 10100442349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100442419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604613 + ... + 3607413.

It is an arithmetic number, because the mean of its divisors is an integer number (659702880).

Almost surely, 2^10100442413 is an apocalyptic number.

It is an amenable number.

10100442413 is a deficient number, since it is larger than the sum of its proper divisors (454803667).

10100442413 is a wasteful number, since it uses less digits than its factorization.

10100442413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10100442413 its reverse (31424400101), we get a palindrome (41524842514).

The spelling of 10100442413 in words is "ten billion, one hundred million, four hundred forty-two thousand, four hundred thirteen".