31142132133 has 96 divisors (see below), whose sum is σ = 50413207680. Its totient is φ = 17038264320.

The previous prime is 31142132129. The next prime is 31142132141. The reversal of 31142132133 is 33123124113.

It is not a de Polignac number, because 31142132133 - 2² = 31142132129 is a prime.

It is a super-2 number, since 2×31142132133² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142132123) 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 95 ways as a sum of consecutive naturals, for example, 110825953 + ... + 110826233.

It is an arithmetic number, because the mean of its divisors is an integer number (525137580).

Almost surely, 2^31142132133 is an apocalyptic number.

It is an amenable number.

31142132133 is a deficient number, since it is larger than the sum of its proper divisors (19271075547).

31142132133 is a wasteful number, since it uses less digits than its factorization.

31142132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 31142132133 its reverse (33123124113), we get a palindrome (64265256246).

The spelling of 31142132133 in words is "thirty-one billion, one hundred forty-two million, one hundred thirty-two thousand, one hundred thirty-three".