10413311121 has 24 divisors (see below), whose sum is σ = 15973578504. Its totient is φ = 6514421760.

The previous prime is 10413311093. The next prime is 10413311173. The reversal of 10413311121 is 12111331401.

It is a happy number.

10413311121 is digitally balanced in base 3, 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 4 ways, for example, as 304014096 + 10109297025 = 17436^2 + 100545^2 .

It is not a de Polignac number, because 10413311121 - 2¹³ = 10413302929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10413311094 and 10413311103.

It is not an unprimeable number, because it can be changed into a prime (10413313121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49420 + ... + 152541.

It is an arithmetic number, because the mean of its divisors is an integer number (665565771).

Almost surely, 2^10413311121 is an apocalyptic number.

It is an amenable number.

10413311121 is a deficient number, since it is larger than the sum of its proper divisors (5560267383).

10413311121 is a wasteful number, since it uses less digits than its factorization.

10413311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202321 (or 202318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10413311121 its reverse (12111331401), we get a palindrome (22524642522).

The spelling of 10413311121 in words is "ten billion, four hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".