10121233113 has 12 divisors (see below), whose sum is σ = 14620724820. Its totient is φ = 6746950656.

The previous prime is 10121233091. The next prime is 10121233147. The reversal of 10121233113 is 31133212101.

10121233113 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 7851377664 + 2269855449 = 88608^2 + 47643^2 .

It is not a de Polignac number, because 10121233113 - 2⁸ = 10121232857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10121233013) 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 11 ways as a sum of consecutive naturals, for example, 98353 + ... + 172961.

It is an arithmetic number, because the mean of its divisors is an integer number (1218393735).

Almost surely, 2^10121233113 is an apocalyptic number.

It is an amenable number.

10121233113 is a deficient number, since it is larger than the sum of its proper divisors (4499491707).

10121233113 is a wasteful number, since it uses less digits than its factorization.

10121233113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89688 (or 89685 counting only the distinct ones).

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

Adding to 10121233113 its reverse (31133212101), we get a palindrome (41254445214).

The spelling of 10121233113 in words is "ten billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred thirteen".