100867949903113 has 2 divisors, whose sum is σ = 100867949903114. Its totient is φ = 100867949903112.

The previous prime is 100867949903107. The next prime is 100867949903219. The reversal of 100867949903113 is 311309949768001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67289668368784 + 33578281534329 = 8203028^2 + 5794677^2 .

It is a cyclic number.

It is not a de Polignac number, because 100867949903113 - 2⁴¹ = 98668926647561 is a prime.

It is not a weakly prime, because it can be changed into another prime (100867949907113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50433974951556 + 50433974951557.

It is an arithmetic number, because the mean of its divisors is an integer number (50433974951557).

Almost surely, 2^{100867949903113} is an apocalyptic number.

It is an amenable number.

100867949903113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100867949903113 is an equidigital number, since it uses as much as digits as its factorization.

100867949903113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8817984, while the sum is 61.

The spelling of 100867949903113 in words is "one hundred trillion, eight hundred sixty-seven billion, nine hundred forty-nine million, nine hundred three thousand, one hundred thirteen".