10100351313 has 24 divisors (see below), whose sum is σ = 16077052992. Its totient is φ = 6071048928.

The previous prime is 10100351297. The next prime is 10100351323. The reversal of 10100351313 is 31315300101.

10100351313 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 351 + 313 = 666.

It is not a de Polignac number, because 10100351313 - 2⁴ = 10100351297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100351323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998781 + ... + 1008842.

It is an arithmetic number, because the mean of its divisors is an integer number (669877208).

Almost surely, 2^10100351313 is an apocalyptic number.

10100351313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100351313 is a deficient number, since it is larger than the sum of its proper divisors (5976701679).

10100351313 is a wasteful number, since it uses less digits than its factorization.

10100351313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007685 (or 2007682 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 10100351313 its reverse (31315300101), we get a palindrome (41415651414).

The spelling of 10100351313 in words is "ten billion, one hundred million, three hundred fifty-one thousand, three hundred thirteen".