20311100041001 has 64 divisors (see below), whose sum is σ = 25818277478400. Its totient is φ = 15519837427200.

The previous prime is 20311100040971. The next prime is 20311100041019. The reversal of 20311100041001 is 10014000111302.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20311100041001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20311100041031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2564852720 + ... + 2564860638.

It is an arithmetic number, because the mean of its divisors is an integer number (403410585600).

Almost surely, 2^{20311100041001} is an apocalyptic number.

It is an amenable number.

20311100041001 is a deficient number, since it is larger than the sum of its proper divisors (5507177437399).

20311100041001 is a wasteful number, since it uses less digits than its factorization.

20311100041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20311100041001 its reverse (10014000111302), we get a palindrome (30325100152303).

The spelling of 20311100041001 in words is "twenty trillion, three hundred eleven billion, one hundred million, forty-one thousand, one".