211313313312013 has 8 divisors (see below), whose sum is σ = 231718037397696. Its totient is φ = 191107659705600.

The previous prime is 211313313312007. The next prime is 211313313312029. The reversal of 211313313312013 is 310213313313112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211313313312013 - 2¹⁷ = 211313313180941 is a prime.

It is a super-2 number, since 2×211313313312013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313313372013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49767617593 + ... + 49767621838.

It is an arithmetic number, because the mean of its divisors is an integer number (28964754674712).

Almost surely, 2^{211313313312013} is an apocalyptic number.

It is an amenable number.

211313313312013 is a deficient number, since it is larger than the sum of its proper divisors (20404724085683).

211313313312013 is a wasteful number, since it uses less digits than its factorization.

211313313312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99535239635.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 211313313312013 its reverse (310213313313112), we get a palindrome (521526626625125).

The spelling of 211313313312013 in words is "two hundred eleven trillion, three hundred thirteen billion, three hundred thirteen million, three hundred twelve thousand, thirteen".