312121311 has 8 divisors (see below), whose sum is σ = 416290560. Its totient is φ = 208016472.

The previous prime is 312121301. The next prime is 312121319. The reversal of 312121311 is 113121213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312121311 - 2¹⁴ = 312104927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3351 + ... + 25208.

It is an arithmetic number, because the mean of its divisors is an integer number (52036320).

Almost surely, 2^312121311 is an apocalyptic number.

312121311 is a deficient number, since it is larger than the sum of its proper divisors (104169249).

312121311 is a wasteful number, since it uses less digits than its factorization.

312121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32205.

The product of its digits is 36, while the sum is 15.

The square root of 312121311 is about 17666.9553404088. The cubic root of 312121311 is about 678.3301813260.

Adding to 312121311 its reverse (113121213), we get a palindrome (425242524).

It can be divided in two parts, 3121213 and 11, that multiplied together give a palindrome (34333343).

The spelling of 312121311 in words is "three hundred twelve million, one hundred twenty-one thousand, three hundred eleven".