10001213313 has 48 divisors (see below), whose sum is σ = 16614057600. Its totient is φ = 5239683072.

The previous prime is 10001213311. The next prime is 10001213363. The reversal of 10001213313 is 31331210001.

It is not a de Polignac number, because 10001213313 - 2¹ = 10001213311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001213292 and 10001213301.

It is not an unprimeable number, because it can be changed into a prime (10001213311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519345 + ... + 538257.

It is an arithmetic number, because the mean of its divisors is an integer number (346126200).

Almost surely, 2^10001213313 is an apocalyptic number.

10001213313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001213313 is a deficient number, since it is larger than the sum of its proper divisors (6612844287).

10001213313 is a wasteful number, since it uses less digits than its factorization.

10001213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19098 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10001213313 its reverse (31331210001), we get a palindrome (41332423314).

The spelling of 10001213313 in words is "ten billion, one million, two hundred thirteen thousand, three hundred thirteen".