10420130013 has 8 divisors (see below), whose sum is σ = 14497572288. Its totient is φ = 6644720544.

The previous prime is 10420129969. The next prime is 10420130029. The reversal of 10420130013 is 31003102401.

10420130013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10420130013 - 2⁶ = 10420129949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10420129974 and 10420130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420131013) 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 7 ways as a sum of consecutive naturals, for example, 75508120 + ... + 75508257.

It is an arithmetic number, because the mean of its divisors is an integer number (1812196536).

Almost surely, 2^10420130013 is an apocalyptic number.

It is an amenable number.

10420130013 is a deficient number, since it is larger than the sum of its proper divisors (4077442275).

10420130013 is a wasteful number, since it uses less digits than its factorization.

10420130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151016403.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10420130013 its reverse (31003102401), we get a palindrome (41423232414).

The spelling of 10420130013 in words is "ten billion, four hundred twenty million, one hundred thirty thousand, thirteen".