311330101221 has 12 divisors (see below), whose sum is σ = 464205456000. Its totient is φ = 200858129640.

The previous prime is 311330101177. The next prime is 311330101231. The reversal of 311330101221 is 122101033113.

311330101221 is a `hidden beast` number, since 3 + 11 + 330 + 101 + 221 = 666.

It is not a de Polignac number, because 311330101221 - 2¹³ = 311330093029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311330101194 and 311330101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311330101231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557938971 + ... + 557939528.

It is an arithmetic number, because the mean of its divisors is an integer number (38683788000).

Almost surely, 2^311330101221 is an apocalyptic number.

311330101221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

311330101221 is a deficient number, since it is larger than the sum of its proper divisors (152875354779).

311330101221 is a wasteful number, since it uses less digits than its factorization.

311330101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115878536 (or 1115878533 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311330101221 its reverse (122101033113), we get a palindrome (433431134334).

The spelling of 311330101221 in words is "three hundred eleven billion, three hundred thirty million, one hundred one thousand, two hundred twenty-one".