21130113233113 has 2 divisors, whose sum is σ = 21130113233114. Its totient is φ = 21130113233112.

The previous prime is 21130113233111. The next prime is 21130113233123. The reversal of 21130113233113 is 31133231103112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16358894319769 + 4771218913344 = 4044613^2 + 2184312^2 .

It is a cyclic number.

It is not a de Polignac number, because 21130113233113 - 2¹ = 21130113233111 is a prime.

Together with 21130113233111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21130113233111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10565056616556 + 10565056616557.

It is an arithmetic number, because the mean of its divisors is an integer number (10565056616557).

Almost surely, 2^{21130113233113} is an apocalyptic number.

It is an amenable number.

21130113233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21130113233113 is an equidigital number, since it uses as much as digits as its factorization.

21130113233113 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 25.

Adding to 21130113233113 its reverse (31133231103112), we get a palindrome (52263344336225).

The spelling of 21130113233113 in words is "twenty-one trillion, one hundred thirty billion, one hundred thirteen million, two hundred thirty-three thousand, one hundred thirteen".