100310000131111 has 2 divisors, whose sum is σ = 100310000131112. Its totient is φ = 100310000131110.

The previous prime is 100310000131097. The next prime is 100310000131139. The reversal of 100310000131111 is 111131000013001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100310000131111 - 2²⁵ = 100309966576679 is a prime.

It is a super-2 number, since 2×100310000131111² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100310000131091 and 100310000131100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100310000131181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155000065555 + 50155000065556.

It is an arithmetic number, because the mean of its divisors is an integer number (50155000065556).

Almost surely, 2^{100310000131111} is an apocalyptic number.

100310000131111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100310000131111 is an equidigital number, since it uses as much as digits as its factorization.

100310000131111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100310000131111 its reverse (111131000013001), we get a palindrome (211441000144112).

The spelling of 100310000131111 in words is "one hundred trillion, three hundred ten billion, one hundred thirty-one thousand, one hundred eleven".