31145121333 has 12 divisors (see below), whose sum is σ = 45273943468. Its totient is φ = 20631162240.

The previous prime is 31145121331. The next prime is 31145121349. The reversal of 31145121333 is 33312154113.

31145121333 is a `hidden beast` number, since 3 + 1 + 14 + 512 + 133 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11579266449 + 19565854884 = 107607^2 + 139878^2 .

It is not a de Polignac number, because 31145121333 - 2¹ = 31145121331 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31145121297 and 31145121306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145121331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11019508 + ... + 11022333.

Almost surely, 2^31145121333 is an apocalyptic number.

It is an amenable number.

31145121333 is a deficient number, since it is larger than the sum of its proper divisors (14128822135).

31145121333 is a wasteful number, since it uses less digits than its factorization.

31145121333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22042004 (or 22042001 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 31145121333 its reverse (33312154113), we get a palindrome (64457275446).

The spelling of 31145121333 in words is "thirty-one billion, one hundred forty-five million, one hundred twenty-one thousand, three hundred thirty-three".