1001310010101 has 6 divisors (see below), whose sum is σ = 1446336681270. Its totient is φ = 667540006728.

The previous prime is 1001310010091. The next prime is 1001310010171. The reversal of 1001310010101 is 1010100131001.

It can be written as a sum of positive squares in only one way, i.e., 998852329476 + 2457680625 = 999426^2 + 49575^2 .

It is not a de Polignac number, because 1001310010101 - 2⁹ = 1001310009589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111256667789 = 1001310010101 / (1 + 0 + 0 + 1 + 3 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001310010171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55628333886 + ... + 55628333903.

It is an arithmetic number, because the mean of its divisors is an integer number (241056113545).

Almost surely, 2^{1001310010101} is an apocalyptic number.

It is an amenable number.

1001310010101 is a deficient number, since it is larger than the sum of its proper divisors (445026671169).

1001310010101 is a wasteful number, since it uses less digits than its factorization.

1001310010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111256667795 (or 111256667792 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1001310010101 its reverse (1010100131001), we get a palindrome (2011410141102).

The spelling of 1001310010101 in words is "one trillion, one billion, three hundred ten million, ten thousand, one hundred one".