213130011313 has 32 divisors (see below), whose sum is σ = 241355980800. Its totient is φ = 187097492736.

The previous prime is 213130011299. The next prime is 213130011343. The reversal of 213130011313 is 313110031312.

It is a cyclic number.

It is not a de Polignac number, because 213130011313 - 2²¹ = 213127914161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213130011343) 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, 10397008 + ... + 10417486.

It is an arithmetic number, because the mean of its divisors is an integer number (7542374400).

Almost surely, 2^213130011313 is an apocalyptic number.

213130011313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213130011313 is a deficient number, since it is larger than the sum of its proper divisors (28225969487).

213130011313 is a wasteful number, since it uses less digits than its factorization.

213130011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21181.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 213130011313 its reverse (313110031312), we get a palindrome (526240042625).

The spelling of 213130011313 in words is "two hundred thirteen billion, one hundred thirty million, eleven thousand, three hundred thirteen".