10131212122013 has 2 divisors, whose sum is σ = 10131212122014. Its totient is φ = 10131212122012.

The previous prime is 10131212121971. The next prime is 10131212122039. The reversal of 10131212122013 is 31022121213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10072987397209 + 58224724804 = 3173797^2 + 241298^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131212122013 - 2³⁰ = 10130138380189 is a prime.

It is a super-2 number, since 2×10131212122013² (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 (10131212122813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065606061006 + 5065606061007.

It is an arithmetic number, because the mean of its divisors is an integer number (5065606061007).

Almost surely, 2^{10131212122013} is an apocalyptic number.

It is an amenable number.

10131212122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131212122013 is an equidigital number, since it uses as much as digits as its factorization.

10131212122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10131212122013 its reverse (31022121213101), we get a palindrome (41153333335114).

The spelling of 10131212122013 in words is "ten trillion, one hundred thirty-one billion, two hundred twelve million, one hundred twenty-two thousand, thirteen".