103313133110113 has 2 divisors, whose sum is σ = 103313133110114. Its totient is φ = 103313133110112.

The previous prime is 103313133110101. The next prime is 103313133110119. The reversal of 103313133110113 is 311011331313301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98875340057664 + 4437793052449 = 9943608^2 + 2106607^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313133110113 - 2⁹ = 103313133109601 is a prime.

It is not a weakly prime, because it can be changed into another prime (103313133110119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656566555056 + 51656566555057.

It is an arithmetic number, because the mean of its divisors is an integer number (51656566555057).

Almost surely, 2^{103313133110113} is an apocalyptic number.

It is an amenable number.

103313133110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313133110113 is an equidigital number, since it uses as much as digits as its factorization.

103313133110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 103313133110113 its reverse (311011331313301), we get a palindrome (414324464423414).

The spelling of 103313133110113 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred ten thousand, one hundred thirteen".