10001001313101 has 4 divisors (see below), whose sum is σ = 13334668417472. Its totient is φ = 6667334208732.

The previous prime is 10001001313091. The next prime is 10001001313109. The reversal of 10001001313101 is 10131310010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10001001313101 - 2¹⁰ = 10001001312077 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 (10001001313109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1666833552181 + ... + 1666833552186.

It is an arithmetic number, because the mean of its divisors is an integer number (3333667104368).

Almost surely, 2^{10001001313101} is an apocalyptic number.

It is an amenable number.

10001001313101 is a deficient number, since it is larger than the sum of its proper divisors (3333667104371).

10001001313101 is an equidigital number, since it uses as much as digits as its factorization.

10001001313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333667104370.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10001001313101 its reverse (10131310010001), we get a palindrome (20132311323102).

The spelling of 10001001313101 in words is "ten trillion, one billion, one million, three hundred thirteen thousand, one hundred one".