100331110121131 has 2 divisors, whose sum is σ = 100331110121132. Its totient is φ = 100331110121130.

The previous prime is 100331110121101. The next prime is 100331110121197. The reversal of 100331110121131 is 131121011133001.

It is a weak prime.

It is an emirp because it is prime and its reverse (131121011133001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100331110121131 - 2¹⁹ = 100331109596843 is a prime.

It is a super-2 number, since 2×100331110121131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100331110121099 and 100331110121108.

It is not a weakly prime, because it can be changed into another prime (100331110121101) 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, 50165555060565 + 50165555060566.

It is an arithmetic number, because the mean of its divisors is an integer number (50165555060566).

Almost surely, 2^{100331110121131} is an apocalyptic number.

100331110121131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331110121131 is an equidigital number, since it uses as much as digits as its factorization.

100331110121131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100331110121131 its reverse (131121011133001), we get a palindrome (231452121254132).

The spelling of 100331110121131 in words is "one hundred trillion, three hundred thirty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred thirty-one".