3121244114013 has 24 divisors (see below), whose sum is σ = 4511705147768. Its totient is φ = 2079333752832.

The previous prime is 3121244113973. The next prime is 3121244114077. The reversal of 3121244114013 is 3104114421213.

It is a happy number.

3121244114013 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 244 + 11 + 401 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13632197049 + 3107611916964 = 116757^2 + 1762842^2 .

It is not a de Polignac number, because 3121244114013 - 2¹⁰ = 3121244112989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121244114213) 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, 146437245 + ... + 146458557.

Almost surely, 2^{3121244114013} is an apocalyptic number.

It is an amenable number.

3121244114013 is a deficient number, since it is larger than the sum of its proper divisors (1390461033755).

3121244114013 is a wasteful number, since it uses less digits than its factorization.

3121244114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32253 (or 32250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3121244114013 its reverse (3104114421213), we get a palindrome (6225358535226).

The spelling of 3121244114013 in words is "three trillion, one hundred twenty-one billion, two hundred forty-four million, one hundred fourteen thousand, thirteen".