311332000221 has 48 divisors (see below), whose sum is σ = 509659637760. Its totient is φ = 188350006320.

The previous prime is 311332000181. The next prime is 311332000223. The reversal of 311332000221 is 122000233113.

311332000221 is a `hidden beast` number, since 311 + 332 + 0 + 0 + 0 + 2 + 21 = 666.

It is not a de Polignac number, because 311332000221 - 2¹⁸ = 311331738077 is a prime.

It is a super-2 number, since 2×311332000221² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311332000194 and 311332000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311332000223) 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, 1401460 + ... + 1608338.

It is an arithmetic number, because the mean of its divisors is an integer number (10617909120).

Almost surely, 2^311332000221 is an apocalyptic number.

It is an amenable number.

311332000221 is a deficient number, since it is larger than the sum of its proper divisors (198327637539).

311332000221 is a wasteful number, since it uses less digits than its factorization.

311332000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207468 (or 207456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 311332000221 its reverse (122000233113), we get a palindrome (433332233334).

The spelling of 311332000221 in words is "three hundred eleven billion, three hundred thirty-two million, two hundred twenty-one", and thus it is an aban number.