10103131261 has 2 divisors, whose sum is σ = 10103131262. Its totient is φ = 10103131260.

The previous prime is 10103131219. The next prime is 10103131277. The reversal of 10103131261 is 16213130101.

10103131261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10001000025 + 102131236 = 100005^2 + 10106^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103131261 - 2¹⁷ = 10103000189 is a prime.

It is a super-2 number, since 2×10103131261² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051565630 + 5051565631.

It is an arithmetic number, because the mean of its divisors is an integer number (5051565631).

Almost surely, 2^10103131261 is an apocalyptic number.

It is an amenable number.

10103131261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103131261 is an equidigital number, since it uses as much as digits as its factorization.

10103131261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10103131261 its reverse (16213130101), we get a palindrome (26316261362).

The spelling of 10103131261 in words is "ten billion, one hundred three million, one hundred thirty-one thousand, two hundred sixty-one".