10103313131311 has 2 divisors, whose sum is σ = 10103313131312. Its totient is φ = 10103313131310.

The previous prime is 10103313131221. The next prime is 10103313131383. The reversal of 10103313131311 is 11313131330101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10103313131311 - 2¹³ = 10103313123119 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103313134311) 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, 5051656565655 + 5051656565656.

It is an arithmetic number, because the mean of its divisors is an integer number (5051656565656).

Almost surely, 2^{10103313131311} is an apocalyptic number.

10103313131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103313131311 is an equidigital number, since it uses as much as digits as its factorization.

10103313131311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 10103313131311 its reverse (11313131330101), we get a palindrome (21416444461412).

The spelling of 10103313131311 in words is "ten trillion, one hundred three billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred eleven".