10013123121031 has 2 divisors, whose sum is σ = 10013123121032. Its totient is φ = 10013123121030.

The previous prime is 10013123121019. The next prime is 10013123121037. The reversal of 10013123121031 is 13012132131001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10013123121031 - 2¹⁵ = 10013123088263 is a prime.

It is a super-2 number, since 2×10013123121031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013123121037) 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, 5006561560515 + 5006561560516.

It is an arithmetic number, because the mean of its divisors is an integer number (5006561560516).

Almost surely, 2^{10013123121031} is an apocalyptic number.

10013123121031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013123121031 is an equidigital number, since it uses as much as digits as its factorization.

10013123121031 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 10013123121031 its reverse (13012132131001), we get a palindrome (23025255252032).

The spelling of 10013123121031 in words is "ten trillion, thirteen billion, one hundred twenty-three million, one hundred twenty-one thousand, thirty-one".