10420130513 has 12 divisors (see below), whose sum is σ = 11588298588. Its totient is φ = 9358614720.

The previous prime is 10420130491. The next prime is 10420130521. The reversal of 10420130513 is 31503102401.

It can be written as a sum of positive squares in 6 ways, for example, as 317267344 + 10102863169 = 17812^2 + 100513^2 .

It is not a de Polignac number, because 10420130513 - 2¹² = 10420126417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420130543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826958 + ... + 839463.

It is an arithmetic number, because the mean of its divisors is an integer number (965691549).

Almost surely, 2^10420130513 is an apocalyptic number.

10420130513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10420130513 is a deficient number, since it is larger than the sum of its proper divisors (1168168075).

10420130513 is a wasteful number, since it uses less digits than its factorization.

10420130513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666484 (or 1666471 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10420130513 its reverse (31503102401), we get a palindrome (41923232914).

The spelling of 10420130513 in words is "ten billion, four hundred twenty million, one hundred thirty thousand, five hundred thirteen".