103121233112993 has 2 divisors, whose sum is σ = 103121233112994. Its totient is φ = 103121233112992.

The previous prime is 103121233112921. The next prime is 103121233113023. The reversal of 103121233112993 is 399211332121301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55121596569664 + 47999636543329 = 7424392^2 + 6928177^2 .

It is a cyclic number.

It is not a de Polignac number, because 103121233112993 - 2¹⁸ = 103121232850849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103121233112993.

It is not a weakly prime, because it can be changed into another prime (103121233112903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51560616556496 + 51560616556497.

It is an arithmetic number, because the mean of its divisors is an integer number (51560616556497).

Almost surely, 2^{103121233112993} is an apocalyptic number.

It is an amenable number.

103121233112993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103121233112993 is an equidigital number, since it uses as much as digits as its factorization.

103121233112993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 103121233112993 in words is "one hundred three trillion, one hundred twenty-one billion, two hundred thirty-three million, one hundred twelve thousand, nine hundred ninety-three".