211312021331313 has 96 divisors (see below), whose sum is σ = 382312263782400. Its totient is φ = 112687088852448.

The previous prime is 211312021331287. The next prime is 211312021331321. The reversal of 211312021331313 is 313133120213112.

211312021331313 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 12 + 0 + 2 + 1 + 331 + 313 = 666.

It is not a de Polignac number, because 211312021331313 - 2⁶ = 211312021331249 is a prime.

It is a super-3 number, since 3×211312021331313³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211312021333313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9565656 + ... + 22674342.

It is an arithmetic number, because the mean of its divisors is an integer number (3982419414400).

Almost surely, 2^{211312021331313} is an apocalyptic number.

It is an amenable number.

211312021331313 is a deficient number, since it is larger than the sum of its proper divisors (171000242451087).

211312021331313 is a wasteful number, since it uses less digits than its factorization.

211312021331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13108856 (or 13108783 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 211312021331313 its reverse (313133120213112), we get a palindrome (524445141544425).

The spelling of 211312021331313 in words is "two hundred eleven trillion, three hundred twelve billion, twenty-one million, three hundred thirty-one thousand, three hundred thirteen".