103131010121257 has 2 divisors, whose sum is σ = 103131010121258. Its totient is φ = 103131010121256.

The previous prime is 103131010121231. The next prime is 103131010121263. The reversal of 103131010121257 is 752121010131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56157203303721 + 46973806817536 = 7493811^2 + 6853744^2 .

It is a cyclic number.

It is not a de Polignac number, because 103131010121257 - 2³⁵ = 103096650382889 is a prime.

It is not a weakly prime, because it can be changed into another prime (103131010121207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51565505060628 + 51565505060629.

It is an arithmetic number, because the mean of its divisors is an integer number (51565505060629).

Almost surely, 2^{103131010121257} is an apocalyptic number.

It is an amenable number.

103131010121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

103131010121257 is an equidigital number, since it uses as much as digits as its factorization.

103131010121257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 103131010121257 its reverse (752121010131301), we get a palindrome (855252020252558).

The spelling of 103131010121257 in words is "one hundred three trillion, one hundred thirty-one billion, ten million, one hundred twenty-one thousand, two hundred fifty-seven".