100313004402181 has 2 divisors, whose sum is σ = 100313004402182. Its totient is φ = 100313004402180.

The previous prime is 100313004402067. The next prime is 100313004402227. The reversal of 100313004402181 is 181204400313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62521186677156 + 37791817725025 = 7907034^2 + 6147505^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313004402181 - 2³³ = 100304414467589 is a prime.

It is a super-2 number, since 2×100313004402181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313004400181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156502201090 + 50156502201091.

It is an arithmetic number, because the mean of its divisors is an integer number (50156502201091).

Almost surely, 2^{100313004402181} is an apocalyptic number.

It is an amenable number.

100313004402181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313004402181 is an equidigital number, since it uses as much as digits as its factorization.

100313004402181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 100313004402181 its reverse (181204400313001), we get a palindrome (281517404715182).

The spelling of 100313004402181 in words is "one hundred trillion, three hundred thirteen billion, four million, four hundred two thousand, one hundred eighty-one".