11131072001 has 32 divisors (see below), whose sum is σ = 13682753280. Its totient is φ = 8852659200.

The previous prime is 11131071989. The next prime is 11131072013. The reversal of 11131072001 is 10027013111.

11131072001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11131071989) and next prime (11131072013).

It is a de Polignac number, because none of the positive numbers 2^k-11131072001 is a prime.

It is a super-2 number, since 2×11131072001² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11131072091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547661 + ... + 567621.

It is an arithmetic number, because the mean of its divisors is an integer number (427586040).

Almost surely, 2^11131072001 is an apocalyptic number.

It is an amenable number.

11131072001 is a deficient number, since it is larger than the sum of its proper divisors (2551681279).

11131072001 is a wasteful number, since it uses less digits than its factorization.

11131072001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 11131072001 its reverse (10027013111), we get a palindrome (21158085112).

The spelling of 11131072001 in words is "eleven billion, one hundred thirty-one million, seventy-two thousand, one".