100331200231331 has 2 divisors, whose sum is σ = 100331200231332. Its totient is φ = 100331200231330.

The previous prime is 100331200231247. The next prime is 100331200231411. The reversal of 100331200231331 is 133132002133001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100331200231331 is a prime.

It is a super-2 number, since 2×100331200231331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100331200231297 and 100331200231306.

It is not a weakly prime, because it can be changed into another prime (100331200231231) 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, 50165600115665 + 50165600115666.

It is an arithmetic number, because the mean of its divisors is an integer number (50165600115666).

Almost surely, 2^{100331200231331} is an apocalyptic number.

100331200231331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331200231331 is an equidigital number, since it uses as much as digits as its factorization.

100331200231331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 100331200231331 its reverse (133132002133001), we get a palindrome (233463202364332).

The spelling of 100331200231331 in words is "one hundred trillion, three hundred thirty-one billion, two hundred million, two hundred thirty-one thousand, three hundred thirty-one".