311431120 has 160 divisors (see below), whose sum is σ = 972437760. Its totient is φ = 89579520.

The previous prime is 311431117. The next prime is 311431123. The reversal of 311431120 is 21134113.

It is an interprime number because it is at equal distance from previous prime (311431117) and next prime (311431123).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 311431094 and 311431103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311431123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78136 + ... + 82024.

It is an arithmetic number, because the mean of its divisors is an integer number (6077736).

Almost surely, 2^311431120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486218880).

311431120 is an abundant number, since it is smaller than the sum of its proper divisors (661006640).

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

311431120 is a wasteful number, since it uses less digits than its factorization.

311431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 311431120 is about 17647.4111415811. The cubic root of 311431120 is about 677.8298172193.

Adding to 311431120 its reverse (21134113), we get a palindrome (332565233).

The spelling of 311431120 in words is "three hundred eleven million, four hundred thirty-one thousand, one hundred twenty".