10413313101 has 20 divisors (see below), whose sum is σ = 15568026012. Its totient is φ = 6936703488.

The previous prime is 10413313073. The next prime is 10413313121. The reversal of 10413313101 is 10131331401.

10413313101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8213796900 + 2199516201 = 90630^2 + 46899^2 .

It is not a de Polignac number, because 10413313101 - 2⁹ = 10413312589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413313121) 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 in 19 ways as a sum of consecutive naturals, for example, 53101 + ... + 153773.

Almost surely, 2^10413313101 is an apocalyptic number.

It is an amenable number.

10413313101 is a deficient number, since it is larger than the sum of its proper divisors (5154712911).

10413313101 is a wasteful number, since it uses less digits than its factorization.

10413313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101962 (or 101953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10413313101 its reverse (10131331401), we get a palindrome (20544644502).

The spelling of 10413313101 in words is "ten billion, four hundred thirteen million, three hundred thirteen thousand, one hundred one".