10121413013 has 2 divisors, whose sum is σ = 10121413014. Its totient is φ = 10121413012.

The previous prime is 10121412991. The next prime is 10121413037. The reversal of 10121413013 is 31031412101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9201989329 + 919423684 = 95927^2 + 30322^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121413013 - 2²⁶ = 10054304149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121412982 and 10121413000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121413513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060706506 + 5060706507.

It is an arithmetic number, because the mean of its divisors is an integer number (5060706507).

Almost surely, 2^10121413013 is an apocalyptic number.

It is an amenable number.

10121413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121413013 is an equidigital number, since it uses as much as digits as its factorization.

10121413013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10121413013 its reverse (31031412101), we get a palindrome (41152825114).

The spelling of 10121413013 in words is "ten billion, one hundred twenty-one million, four hundred thirteen thousand, thirteen".