311312106 has 96 divisors (see below), whose sum is σ = 817914240. Its totient is φ = 85976640.

The previous prime is 311312101. The next prime is 311312171. The reversal of 311312106 is 601213113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311312101) 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, 362830 + ... + 363686.

It is an arithmetic number, because the mean of its divisors is an integer number (8519940).

Almost surely, 2^311312106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311312106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408957120).

311312106 is an abundant number, since it is smaller than the sum of its proper divisors (506602134).

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

311312106 is a wasteful number, since it uses less digits than its factorization.

311312106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 900 counting only the distinct ones).

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

The square root of 311312106 is about 17644.0388233533. The cubic root of 311312106 is about 677.7434615630.

Adding to 311312106 its reverse (601213113), we get a palindrome (912525219).

The spelling of 311312106 in words is "three hundred eleven million, three hundred twelve thousand, one hundred six".