101001311310001 has 8 divisors (see below), whose sum is σ = 102280444617600. Its totient is φ = 99722193894960.

The previous prime is 101001311309999. The next prime is 101001311310013. The reversal of 101001311310001 is 100013113100101.

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 101001311310001 - 2¹ = 101001311309999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001311310301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9088035 + ... + 16869943.

It is an arithmetic number, because the mean of its divisors is an integer number (12785055577200).

Almost surely, 2^{101001311310001} is an apocalyptic number.

It is an amenable number.

101001311310001 is a deficient number, since it is larger than the sum of its proper divisors (1279133307599).

101001311310001 is an equidigital number, since it uses as much as digits as its factorization.

101001311310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7946279.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 101001311310001 its reverse (100013113100101), we get a palindrome (201014424410102).

The spelling of 101001311310001 in words is "one hundred one trillion, one billion, three hundred eleven million, three hundred ten thousand, one".