10133111241 has 36 divisors (see below), whose sum is σ = 16643111940. Its totient is φ = 5929492800.

The previous prime is 10133111213. The next prime is 10133111257. The reversal of 10133111241 is 14211133101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1674446400 + 8458664841 = 40920^2 + 91971^2 .

It is not a de Polignac number, because 10133111241 - 2¹³ = 10133103049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133110241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128850 + ... + 192011.

It is an arithmetic number, because the mean of its divisors is an integer number (462308665).

Almost surely, 2^10133111241 is an apocalyptic number.

10133111241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133111241 is a deficient number, since it is larger than the sum of its proper divisors (6510000699).

10133111241 is a wasteful number, since it uses less digits than its factorization.

10133111241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320918 (or 320904 counting only the distinct ones).

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

Adding to 10133111241 its reverse (14211133101), we get a palindrome (24344244342).

The spelling of 10133111241 in words is "ten billion, one hundred thirty-three million, one hundred eleven thousand, two hundred forty-one".