103401013132177 has 2 divisors, whose sum is σ = 103401013132178. Its totient is φ = 103401013132176.

The previous prime is 103401013132099. The next prime is 103401013132189. The reversal of 103401013132177 is 771231310104301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72838868015761 + 30562145116416 = 8534569^2 + 5528304^2 .

It is a cyclic number.

It is not a de Polignac number, because 103401013132177 - 2⁴³ = 94604920109969 is a prime.

It is not a weakly prime, because it can be changed into another prime (103401013132477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51700506566088 + 51700506566089.

It is an arithmetic number, because the mean of its divisors is an integer number (51700506566089).

Almost surely, 2^{103401013132177} is an apocalyptic number.

It is an amenable number.

103401013132177 is a deficient number, since it is larger than the sum of its proper divisors (1).

103401013132177 is an equidigital number, since it uses as much as digits as its factorization.

103401013132177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 34.

Adding to 103401013132177 its reverse (771231310104301), we get a palindrome (874632323236478).

The spelling of 103401013132177 in words is "one hundred three trillion, four hundred one billion, thirteen million, one hundred thirty-two thousand, one hundred seventy-seven".