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23132221313 is a prime number
BaseRepresentation
bin10101100010110010…
…011010111110000001
32012201010100121010112
4111202302122332001
5334333322040223
614343215441105
71446144431315
oct254262327601
965633317115
1023132221313
1198a0599283
124596b26195
1322485a4a26
1411962a9b45
15905c2b778
hex562c9af81

23132221313 has 2 divisors, whose sum is σ = 23132221314. Its totient is φ = 23132221312.

The previous prime is 23132221309. The next prime is 23132221337. The reversal of 23132221313 is 31312223132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22226933569 + 905287744 = 149087^2 + 30088^2 .

It is a cyclic number.

It is not a de Polignac number, because 23132221313 - 22 = 23132221309 is a prime.

It is a super-3 number, since 3×231322213133 (a number of 32 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 (23132221303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11566110656 + 11566110657.

It is an arithmetic number, because the mean of its divisors is an integer number (11566110657).

Almost surely, 223132221313 is an apocalyptic number.

It is an amenable number.

23132221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23132221313 is an equidigital number, since it uses as much as digits as its factorization.

23132221313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

Adding to 23132221313 its reverse (31312223132), we get a palindrome (54444444445).

The spelling of 23132221313 in words is "twenty-three billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".