1001323131101 has 8 divisors (see below), whose sum is σ = 1060406049024. Its totient is φ = 942260386240.

The previous prime is 1001323131079. The next prime is 1001323131103. The reversal of 1001323131101 is 1011313231001.

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 1001323131101 - 2³⁸ = 726445224157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001323131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001323131103) 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, 4941005 + ... + 5139666.

It is an arithmetic number, because the mean of its divisors is an integer number (132550756128).

Almost surely, 2^{1001323131101} is an apocalyptic number.

It is an amenable number.

1001323131101 is a deficient number, since it is larger than the sum of its proper divisors (59082917923).

1001323131101 is a wasteful number, since it uses less digits than its factorization.

1001323131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086531.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1001323131101 its reverse (1011313231001), we get a palindrome (2012636362102).

The spelling of 1001323131101 in words is "one trillion, one billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred one".