103113132302353 has 2 divisors, whose sum is σ = 103113132302354. Its totient is φ = 103113132302352.

The previous prime is 103113132302281. The next prime is 103113132302407. The reversal of 103113132302353 is 353203231311301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90114922580544 + 12998209721809 = 9492888^2 + 3605303^2 .

It is a cyclic number.

It is not a de Polignac number, because 103113132302353 - 2²¹ = 103113130205201 is a prime.

It is not a weakly prime, because it can be changed into another prime (103113132312353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556566151176 + 51556566151177.

It is an arithmetic number, because the mean of its divisors is an integer number (51556566151177).

Almost surely, 2^{103113132302353} is an apocalyptic number.

It is an amenable number.

103113132302353 is a deficient number, since it is larger than the sum of its proper divisors (1).

103113132302353 is an equidigital number, since it uses as much as digits as its factorization.

103113132302353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 103113132302353 its reverse (353203231311301), we get a palindrome (456316363613654).

The spelling of 103113132302353 in words is "one hundred three trillion, one hundred thirteen billion, one hundred thirty-two million, three hundred two thousand, three hundred fifty-three".