10031001033213 has 12 divisors (see below), whose sum is σ = 14632681376508. Its totient is φ = 6621122793600.

The previous prime is 10031001033199. The next prime is 10031001033233. The reversal of 10031001033213 is 31233010013001.

It is a happy number.

10031001033213 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 0 + 10 + 332 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9437073408324 + 593927624889 = 3071982^2 + 770667^2 .

It is not a de Polignac number, because 10031001033213 - 2⁸ = 10031001032957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031001033233) 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 11 ways as a sum of consecutive naturals, for example, 5517601420 + ... + 5517603237.

It is an arithmetic number, because the mean of its divisors is an integer number (1219390114709).

Almost surely, 2^{10031001033213} is an apocalyptic number.

It is an amenable number.

10031001033213 is a deficient number, since it is larger than the sum of its proper divisors (4601680343295).

10031001033213 is a wasteful number, since it uses less digits than its factorization.

10031001033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035204764 (or 11035204761 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10031001033213 its reverse (31233010013001), we get a palindrome (41264011046214).

The spelling of 10031001033213 in words is "ten trillion, thirty-one billion, one million, thirty-three thousand, two hundred thirteen".