10010300313 has 32 divisors (see below), whose sum is σ = 14693777280. Its totient is φ = 6024130560.

The previous prime is 10010300291. The next prime is 10010300317. The reversal of 10010300313 is 31300301001.

It is not a de Polignac number, because 10010300313 - 2⁶ = 10010300249 is a prime.

It is a super-2 number, since 2×10010300313² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010300317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432823 + ... + 455363.

It is an arithmetic number, because the mean of its divisors is an integer number (459180540).

Almost surely, 2^10010300313 is an apocalyptic number.

10010300313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10010300313 is a deficient number, since it is larger than the sum of its proper divisors (4683476967).

10010300313 is a wasteful number, since it uses less digits than its factorization.

10010300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22809.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10010300313 its reverse (31300301001), we get a palindrome (41310601314).

The spelling of 10010300313 in words is "ten billion, ten million, three hundred thousand, three hundred thirteen".