103100333199137 has 2 divisors, whose sum is σ = 103100333199138. Its totient is φ = 103100333199136.

The previous prime is 103100333199131. The next prime is 103100333199139. The reversal of 103100333199137 is 731991333001301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75187697735056 + 27912635464081 = 8671084^2 + 5283241^2 .

It is an emirp because it is prime and its reverse (731991333001301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103100333199137 - 2⁴ = 103100333199121 is a prime.

Together with 103100333199139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (103100333199131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51550166599568 + 51550166599569.

It is an arithmetic number, because the mean of its divisors is an integer number (51550166599569).

Almost surely, 2^{103100333199137} is an apocalyptic number.

It is an amenable number.

103100333199137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103100333199137 is an equidigital number, since it uses as much as digits as its factorization.

103100333199137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137781, while the sum is 44.

The spelling of 103100333199137 in words is "one hundred three trillion, one hundred billion, three hundred thirty-three million, one hundred ninety-nine thousand, one hundred thirty-seven".