3131001032221 has 8 divisors (see below), whose sum is σ = 3153898873080. Its totient is φ = 3108103826688.

The previous prime is 3131001032213. The next prime is 3131001032239. The reversal of 3131001032221 is 1222301001313.

3131001032221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1669044367225 + 1461956664996 = 1291915^2 + 1209114^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3131001032221 - 2³ = 3131001032213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131001032521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15003225 + ... + 15210481.

It is an arithmetic number, because the mean of its divisors is an integer number (394237359135).

Almost surely, 2^{3131001032221} is an apocalyptic number.

It is an amenable number.

3131001032221 is a deficient number, since it is larger than the sum of its proper divisors (22897840859).

3131001032221 is a wasteful number, since it uses less digits than its factorization.

3131001032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317663.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3131001032221 its reverse (1222301001313), we get a palindrome (4353302033534).

The spelling of 3131001032221 in words is "three trillion, one hundred thirty-one billion, one million, thirty-two thousand, two hundred twenty-one".