311101312 has 32 divisors (see below), whose sum is σ = 646724880. Its totient is φ = 148786176.

The previous prime is 311101283. The next prime is 311101313. The reversal of 311101312 is 213101113.

311101312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 311101292 and 311101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311101313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49893 + ... + 55780.

Almost surely, 2^311101312 is an apocalyptic number.

311101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311101312 is an abundant number, since it is smaller than the sum of its proper divisors (335623568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311101312 is a wasteful number, since it uses less digits than its factorization.

311101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105710 (or 105698 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 311101312 is about 17638.0642928866. The cubic root of 311101312 is about 677.5904570060.

Adding to 311101312 its reverse (213101113), we get a palindrome (524202425).

The spelling of 311101312 in words is "three hundred eleven million, one hundred one thousand, three hundred twelve".