100000011000031 has 2 divisors, whose sum is σ = 100000011000032. Its totient is φ = 100000011000030.

The previous prime is 100000010999989. The next prime is 100000011000089. The reversal of 100000011000031 is 130000110000001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100000011000031 - 2¹¹ = 100000010997983 is a prime.

It is a super-2 number, since 2×100000011000031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000010999978 and 100000011000023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000011300031) 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, 50000005500015 + 50000005500016.

It is an arithmetic number, because the mean of its divisors is an integer number (50000005500016).

Almost surely, 2^{100000011000031} is an apocalyptic number.

100000011000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000011000031 is an equidigital number, since it uses as much as digits as its factorization.

100000011000031 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 100000011000031 its reverse (130000110000001), we get a palindrome (230000121000032).

The spelling of 100000011000031 in words is "one hundred trillion, eleven million, thirty-one", and thus it is an aban number.