21231302232113 has 2 divisors, whose sum is σ = 21231302232114. Its totient is φ = 21231302232112.

The previous prime is 21231302232067. The next prime is 21231302232131. The reversal of 21231302232113 is 31123220313212.

Together with next prime (21231302232131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19884616253089 + 1346685979024 = 4459217^2 + 1160468^2 .

It is a cyclic number.

It is not a de Polignac number, because 21231302232113 - 2⁴⁰ = 20131790604337 is a prime.

It is a super-3 number, since 3×21231302232113³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21231302232313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10615651116056 + 10615651116057.

It is an arithmetic number, because the mean of its divisors is an integer number (10615651116057).

Almost surely, 2^{21231302232113} is an apocalyptic number.

It is an amenable number.

21231302232113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21231302232113 is an equidigital number, since it uses as much as digits as its factorization.

21231302232113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 21231302232113 its reverse (31123220313212), we get a palindrome (52354522545325).

The spelling of 21231302232113 in words is "twenty-one trillion, two hundred thirty-one billion, three hundred two million, two hundred thirty-two thousand, one hundred thirteen".