311020212321 has 128 divisors (see below), whose sum is σ = 622906368000. Its totient is φ = 148662252288.

The previous prime is 311020212301. The next prime is 311020212379. The reversal of 311020212321 is 123212020113.

311020212321 is a `hidden beast` number, since 3 + 110 + 20 + 212 + 321 = 666.

It is not a de Polignac number, because 311020212321 - 2⁶ = 311020212257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311020212294 and 311020212303.

It is not an unprimeable number, because it can be changed into a prime (311020212301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 928875 + ... + 1218543.

It is an arithmetic number, because the mean of its divisors is an integer number (4866456000).

Almost surely, 2^311020212321 is an apocalyptic number.

It is an amenable number.

311020212321 is an abundant number, since it is smaller than the sum of its proper divisors (311886155679).

311020212321 is a wasteful number, since it uses less digits than its factorization.

311020212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289740 (or 289734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311020212321 its reverse (123212020113), we get a palindrome (434232232434).

The spelling of 311020212321 in words is "three hundred eleven billion, twenty million, two hundred twelve thousand, three hundred twenty-one".