11000001131 has 12 divisors (see below), whose sum is σ = 12971210472. Its totient is φ = 9299410848.

The previous prime is 11000001127. The next prime is 11000001167. The reversal of 11000001131 is 13110000011.

It is not a de Polignac number, because 11000001131 - 2² = 11000001127 is a prime.

It is a super-2 number, since 2×11000001131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000001121) 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 11 ways as a sum of consecutive naturals, for example, 1534025 + ... + 1541178.

It is an arithmetic number, because the mean of its divisors is an integer number (1080934206).

Almost surely, 2^11000001131 is an apocalyptic number.

11000001131 is a deficient number, since it is larger than the sum of its proper divisors (1971209341).

11000001131 is an equidigital number, since it uses as much as digits as its factorization.

11000001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075290 (or 3075283 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11000001131 its reverse (13110000011), we get a palindrome (24110001142).

The spelling of 11000001131 in words is "eleven billion, one thousand, one hundred thirty-one".