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13332102023257 is a prime number
BaseRepresentation
bin1100001000000001111100…
…1101001000100001011001
31202012112111010001022012221
43002000133031020201121
53221413121104221012
644204403315304041
72544132626254423
oct302003715104131
952175433038187
1013332102023257
114280127030226
1215b3a25bab021
1375929a4c7b54
143413c4827813
15181bea286507
hexc201f348859

13332102023257 has 2 divisors, whose sum is σ = 13332102023258. Its totient is φ = 13332102023256.

The previous prime is 13332102023213. The next prime is 13332102023269. The reversal of 13332102023257 is 75232020123331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7704821371536 + 5627280651721 = 2775756^2 + 2372189^2 .

It is a cyclic number.

It is not a de Polignac number, because 13332102023257 - 27 = 13332102023129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13332102023557) 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, 6666051011628 + 6666051011629.

It is an arithmetic number, because the mean of its divisors is an integer number (6666051011629).

Almost surely, 213332102023257 is an apocalyptic number.

It is an amenable number.

13332102023257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332102023257 is an equidigital number, since it uses as much as digits as its factorization.

13332102023257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 34.

Adding to 13332102023257 its reverse (75232020123331), we get a palindrome (88564122146588).

The spelling of 13332102023257 in words is "thirteen trillion, three hundred thirty-two billion, one hundred two million, twenty-three thousand, two hundred fifty-seven".