13131121010233 has 2 divisors, whose sum is σ = 13131121010234. Its totient is φ = 13131121010232.

The previous prime is 13131121010107. The next prime is 13131121010311. The reversal of 13131121010233 is 33201012113131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12095454533904 + 1035666476329 = 3477852^2 + 1017677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13131121010233 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131121010333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565560505116 + 6565560505117.

It is an arithmetic number, because the mean of its divisors is an integer number (6565560505117).

Almost surely, 2^{13131121010233} is an apocalyptic number.

It is an amenable number.

13131121010233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131121010233 is an equidigital number, since it uses as much as digits as its factorization.

13131121010233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13131121010233 its reverse (33201012113131), we get a palindrome (46332133123364).

The spelling of 13131121010233 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty-one million, ten thousand, two hundred thirty-three".