31212103133313 has 24 divisors (see below), whose sum is σ = 45387352881000. Its totient is φ = 20668132341504.

The previous prime is 31212103133297. The next prime is 31212103133359. The reversal of 31212103133313 is 31333130121213.

31212103133313 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 10 + 313 + 331 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968515793424 + 30243587339889 = 984132^2 + 5499417^2 .

It is not a de Polignac number, because 31212103133313 - 2⁴ = 31212103133297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31212103132313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148446903 + ... + 148657011.

It is an arithmetic number, because the mean of its divisors is an integer number (1891139703375).

Almost surely, 2^{31212103133313} is an apocalyptic number.

It is an amenable number.

31212103133313 is a deficient number, since it is larger than the sum of its proper divisors (14175249747687).

31212103133313 is a wasteful number, since it uses less digits than its factorization.

31212103133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321041 (or 321038 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31212103133313 its reverse (31333130121213), we get a palindrome (62545233254526).

The spelling of 31212103133313 in words is "thirty-one trillion, two hundred twelve billion, one hundred three million, one hundred thirty-three thousand, three hundred thirteen".