10013131022333 has 2 divisors, whose sum is σ = 10013131022334. Its totient is φ = 10013131022332.

The previous prime is 10013131022311. The next prime is 10013131022381. The reversal of 10013131022333 is 33322013131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9447834555289 + 565296467044 = 3073733^2 + 751862^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013131022333 - 2²⁸ = 10012862586877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013131022299 and 10013131022308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013131022303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006565511166 + 5006565511167.

It is an arithmetic number, because the mean of its divisors is an integer number (5006565511167).

Almost surely, 2^{10013131022333} is an apocalyptic number.

It is an amenable number.

10013131022333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013131022333 is an equidigital number, since it uses as much as digits as its factorization.

10013131022333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10013131022333 its reverse (33322013131001), we get a palindrome (43335144153334).

The spelling of 10013131022333 in words is "ten trillion, thirteen billion, one hundred thirty-one million, twenty-two thousand, three hundred thirty-three".