10413013320 has 80 divisors (see below), whose sum is σ = 34999305660. Its totient is φ = 2776802688.

The previous prime is 10413013319. The next prime is 10413013379. The reversal of 10413013320 is 2331031401.

10413013320 is a `hidden beast` number, since 1 + 0 + 41 + 301 + 3 + 320 = 666.

10413013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10412569764 + 443556 = 102042^2 + 666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10413013293 and 10413013302.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1603707 + ... + 1610186.

Almost surely, 2^10413013320 is an apocalyptic number.

10413013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10413013320 is an abundant number, since it is smaller than the sum of its proper divisors (24586292340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10413013320 is a wasteful number, since it uses less digits than its factorization.

10413013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213916 (or 3213903 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10413013320 its reverse (2331031401), we get a palindrome (12744044721).

The spelling of 10413013320 in words is "ten billion, four hundred thirteen million, thirteen thousand, three hundred twenty".