11000100031 has 2 divisors, whose sum is σ = 11000100032. Its totient is φ = 11000100030.

The previous prime is 11000100017. The next prime is 11000100061. The reversal of 11000100031 is 13000100011.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (13000100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11000100031 - 2²⁵ = 10966545599 is a prime.

It is a super-2 number, since 2×11000100031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000099987 and 11000100023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000100061) 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 as a sum of consecutive naturals, namely, 5500050015 + 5500050016.

It is an arithmetic number, because the mean of its divisors is an integer number (5500050016).

Almost surely, 2^11000100031 is an apocalyptic number.

11000100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000100031 is an equidigital number, since it uses as much as digits as its factorization.

11000100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11000100031 its reverse (13000100011), we get a palindrome (24000200042).

The spelling of 11000100031 in words is "eleven billion, one hundred thousand, thirty-one".