10103013312131 has 2 divisors, whose sum is σ = 10103013312132. Its totient is φ = 10103013312130.

The previous prime is 10103013312101. The next prime is 10103013312137. The reversal of 10103013312131 is 13121331030101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10103013312131 - 2³⁴ = 10085833442947 is a prime.

It is a super-2 number, since 2×10103013312131² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10103013312137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051506656065 + 5051506656066.

It is an arithmetic number, because the mean of its divisors is an integer number (5051506656066).

Almost surely, 2^{10103013312131} is an apocalyptic number.

10103013312131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103013312131 is an equidigital number, since it uses as much as digits as its factorization.

10103013312131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10103013312131 its reverse (13121331030101), we get a palindrome (23224344342232).

The spelling of 10103013312131 in words is "ten trillion, one hundred three billion, thirteen million, three hundred twelve thousand, one hundred thirty-one".