10031041344101 has 8 divisors (see below), whose sum is σ = 10172485540440. Its totient is φ = 9890235722752.

The previous prime is 10031041344097. The next prime is 10031041344109. The reversal of 10031041344101 is 10144314013001.

It can be written as a sum of positive squares in 4 ways, for example, as 70238250625 + 9960803093476 = 265025^2 + 3156074^2 .

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 10031041344101 - 2² = 10031041344097 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 (10031041344109) 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, 159612110 + ... + 159674943.

It is an arithmetic number, because the mean of its divisors is an integer number (1271560692555).

Almost surely, 2^{10031041344101} is an apocalyptic number.

It is an amenable number.

10031041344101 is a deficient number, since it is larger than the sum of its proper divisors (141444196339).

10031041344101 is an equidigital number, since it uses as much as digits as its factorization.

10031041344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319287495.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10031041344101 its reverse (10144314013001), we get a palindrome (20175355357102).

The spelling of 10031041344101 in words is "ten trillion, thirty-one billion, forty-one million, three hundred forty-four thousand, one hundred one".