1100213100031 has 2 divisors, whose sum is σ = 1100213100032. Its totient is φ = 1100213100030.

The previous prime is 1100213100029. The next prime is 1100213100037. The reversal of 1100213100031 is 1300013120011.

It is a weak prime.

It is an emirp because it is prime and its reverse (1300013120011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100213100031 - 2¹ = 1100213100029 is a prime.

It is a super-2 number, since 2×1100213100031² (a number of 25 digits) contains 22 as substring.

Together with 1100213100029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1100213099984 and 1100213100020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100213100037) 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 as a sum of consecutive naturals, namely, 550106550015 + 550106550016.

It is an arithmetic number, because the mean of its divisors is an integer number (550106550016).

Almost surely, 2^{1100213100031} is an apocalyptic number.

1100213100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100213100031 is an equidigital number, since it uses as much as digits as its factorization.

1100213100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1100213100031 its reverse (1300013120011), we get a palindrome (2400226220042).

The spelling of 1100213100031 in words is "one trillion, one hundred billion, two hundred thirteen million, one hundred thousand, thirty-one".