3131134218 has 48 divisors (see below), whose sum is σ = 7100052960. Its totient is φ = 1034118576.

The previous prime is 3131134211. The next prime is 3131134231. The reversal of 3131134218 is 8124311313.

3131134218 is a `hidden beast` number, since 3 + 1 + 311 + 342 + 1 + 8 = 666.

It is a super-2 number, since 2×3131134218² = 19608002982260943048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3131134191 and 3131134200.

It is not an unprimeable number, because it can be changed into a prime (3131134211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23421 + ... + 82527.

It is an arithmetic number, because the mean of its divisors is an integer number (147917770).

Almost surely, 2^3131134218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131134218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550026480).

3131134218 is an abundant number, since it is smaller than the sum of its proper divisors (3968918742).

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

3131134218 is a wasteful number, since it uses less digits than its factorization.

3131134218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59233 (or 59221 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3131134218 is about 55956.5386527794. The cubic root of 3131134218 is about 1462.9648605109.

The spelling of 3131134218 in words is "three billion, one hundred thirty-one million, one hundred thirty-four thousand, two hundred eighteen".