31000133124 has 18 divisors (see below), whose sum is σ = 78361447710. Its totient is φ = 10333377696.

The previous prime is 31000133123. The next prime is 31000133137. The reversal of 31000133124 is 42133100013.

31000133124 is a `hidden beast` number, since 310 + 0 + 0 + 1 + 331 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23972328900 + 7027804224 = 154830^2 + 83832^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×31000133124² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31000133097 and 31000133106.

It is not an unprimeable number, because it can be changed into a prime (31000133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430557369 + ... + 430557440.

Almost surely, 2^31000133124 is an apocalyptic number.

It is an amenable number.

31000133124 is an abundant number, since it is smaller than the sum of its proper divisors (47361314586).

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

31000133124 is a wasteful number, since it uses less digits than its factorization.

31000133124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861114819 (or 861114814 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31000133124 its reverse (42133100013), we get a palindrome (73133233137).

The spelling of 31000133124 in words is "thirty-one billion, one hundred thirty-three thousand, one hundred twenty-four".