10013131122233 has 4 divisors (see below), whose sum is σ = 10013205172260. Its totient is φ = 10013057072208.

The previous prime is 10013131122223. The next prime is 10013131122289. The reversal of 10013131122233 is 33222113131001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3599944611904 + 6413186510329 = 1897352^2 + 2532427^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013131122233 - 2⁸ = 10013131121977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013131122199 and 10013131122208.

It is not an unprimeable number, because it can be changed into a prime (10013131122223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36821810 + ... + 37092747.

It is an arithmetic number, because the mean of its divisors is an integer number (2503301293065).

Almost surely, 2^{10013131122233} is an apocalyptic number.

It is an amenable number.

10013131122233 is a deficient number, since it is larger than the sum of its proper divisors (74050027).

10013131122233 is an equidigital number, since it uses as much as digits as its factorization.

10013131122233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74050026.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10013131122233 its reverse (33222113131001), we get a palindrome (43235244253234).

The spelling of 10013131122233 in words is "ten trillion, thirteen billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty-three".