10131121313333 has 8 divisors (see below), whose sum is σ = 10727123825880. Its totient is φ = 9535124823040.

The previous prime is 10131121313311. The next prime is 10131121313347. The reversal of 10131121313333 is 33331312113101.

It can be written as a sum of positive squares in 4 ways, for example, as 2827793329 + 10128293520004 = 53177^2 + 3182498^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131121313333 - 2⁸ = 10131121313077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131121313363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2221613 + ... + 5019741.

It is an arithmetic number, because the mean of its divisors is an integer number (1340890478235).

Almost surely, 2^{10131121313333} is an apocalyptic number.

It is an amenable number.

10131121313333 is a deficient number, since it is larger than the sum of its proper divisors (596002512547).

10131121313333 is a wasteful number, since it uses less digits than its factorization.

10131121313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011127.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 10131121313333 its reverse (33331312113101), we get a palindrome (43462433426434).

The spelling of 10131121313333 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-three".