10364303313 has 96 divisors (see below), whose sum is σ = 18835794432. Its totient is φ = 5346432000.

The previous prime is 10364303311. The next prime is 10364303321. The reversal of 10364303313 is 31330346301.

10364303313 is a `hidden beast` number, since 1 + 0 + 3 + 643 + 0 + 3 + 3 + 13 = 666.

It is not a de Polignac number, because 10364303313 - 2¹ = 10364303311 is a prime.

It is a super-3 number, since 3×10364303313³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10364303311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7965763 + ... + 7967063.

It is an arithmetic number, because the mean of its divisors is an integer number (196206192).

Almost surely, 2^10364303313 is an apocalyptic number.

10364303313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10364303313 is a deficient number, since it is larger than the sum of its proper divisors (8471491119).

10364303313 is a wasteful number, since it uses less digits than its factorization.

10364303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10364303313 its reverse (31330346301), we get a palindrome (41694649614).

The spelling of 10364303313 in words is "ten billion, three hundred sixty-four million, three hundred three thousand, three hundred thirteen".