10001310213001 has 8 divisors (see below), whose sum is σ = 10004708032704. Its totient is φ = 9997912644720.

The previous prime is 10001310212951. The next prime is 10001310213019. The reversal of 10001310213001 is 10031201310001.

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 10001310213001 - 2³⁵ = 9966950474633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001310213061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112759611 + ... + 112848271.

It is an arithmetic number, because the mean of its divisors is an integer number (1250588504088).

Almost surely, 2^{10001310213001} is an apocalyptic number.

It is an amenable number.

10001310213001 is a deficient number, since it is larger than the sum of its proper divisors (3397819703).

10001310213001 is an equidigital number, since it uses as much as digits as its factorization.

10001310213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125711.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10001310213001 its reverse (10031201310001), we get a palindrome (20032511523002).

The spelling of 10001310213001 in words is "ten trillion, one billion, three hundred ten million, two hundred thirteen thousand, one".