10031013123201 has 32 divisors (see below), whose sum is σ = 17004412819200. Its totient is φ = 5725025671680.

The previous prime is 10031013123199. The next prime is 10031013123217. The reversal of 10031013123201 is 10232131013001.

10031013123201 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 0 + 1 + 312 + 320 + 1 = 666.

It is not a de Polignac number, because 10031013123201 - 2¹ = 10031013123199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10031013123301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32167696 + ... + 32478033.

It is an arithmetic number, because the mean of its divisors is an integer number (531387900600).

Almost surely, 2^{10031013123201} is an apocalyptic number.

It is an amenable number.

10031013123201 is a deficient number, since it is larger than the sum of its proper divisors (6973399695999).

10031013123201 is an equidigital number, since it uses as much as digits as its factorization.

10031013123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64646566 (or 64646560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10031013123201 its reverse (10232131013001), we get a palindrome (20263144136202).

The spelling of 10031013123201 in words is "ten trillion, thirty-one billion, thirteen million, one hundred twenty-three thousand, two hundred one".