3211321313313 has 16 divisors (see below), whose sum is σ = 5007908481600. Its totient is φ = 2028202934400.

The previous prime is 3211321313303. The next prime is 3211321313371. The reversal of 3211321313313 is 3133131231123.

3211321313313 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 32 + 1 + 313 + 313 = 666.

It is not a de Polignac number, because 3211321313313 - 2⁵ = 3211321313281 is a prime.

It is a super-2 number, since 2×3211321313313² (a number of 26 digits) contains 22 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 (3211321313303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3129942288 + ... + 3129943313.

It is an arithmetic number, because the mean of its divisors is an integer number (312994280100).

Almost surely, 2^{3211321313313} is an apocalyptic number.

It is an amenable number.

3211321313313 is a deficient number, since it is larger than the sum of its proper divisors (1796587168287).

3211321313313 is a wasteful number, since it uses less digits than its factorization.

3211321313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259885629 (or 6259885623 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 3211321313313 its reverse (3133131231123), we get a palindrome (6344452544436).

The spelling of 3211321313313 in words is "three trillion, two hundred eleven billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".