100111001001031 has 2 divisors, whose sum is σ = 100111001001032. Its totient is φ = 100111001001030.

The previous prime is 100111001000999. The next prime is 100111001001043. The reversal of 100111001001031 is 130100100111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111001001031 - 2⁵ = 100111001000999 is a prime.

It is a super-2 number, since 2×100111001001031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111001000999 and 100111001001017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111001002031) 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, 50055500500515 + 50055500500516.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500500516).

Almost surely, 2^{100111001001031} is an apocalyptic number.

100111001001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001001031 is an equidigital number, since it uses as much as digits as its factorization.

100111001001031 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 10.

Adding to 100111001001031 its reverse (130100100111001), we get a palindrome (230211101112032).

The spelling of 100111001001031 in words is "one hundred trillion, one hundred eleven billion, one million, one thousand, thirty-one".