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13300131101233 is a prime number
BaseRepresentation
bin1100000110001010110110…
…0101101111101000110001
31202002110222000010012002211
43001202231211233220301
53220402132030214413
644141555035412121
72541621435022264
oct301425545575061
952073860105084
1013300131101233
114268610300319
1215a97a2bb4041
137562739c9b02
1433da30732cdb
15180e785e083d
hexc18ad96fa31

13300131101233 has 2 divisors, whose sum is σ = 13300131101234. Its totient is φ = 13300131101232.

The previous prime is 13300131101203. The next prime is 13300131101239. The reversal of 13300131101233 is 33210113100331.

13300131101233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13298515704369 + 1615396864 = 3646713^2 + 40192^2 .

It is an emirp because it is prime and its reverse (33210113100331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13300131101233 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300131101239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650065550616 + 6650065550617.

It is an arithmetic number, because the mean of its divisors is an integer number (6650065550617).

Almost surely, 213300131101233 is an apocalyptic number.

It is an amenable number.

13300131101233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300131101233 is an equidigital number, since it uses as much as digits as its factorization.

13300131101233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13300131101233 its reverse (33210113100331), we get a palindrome (46510244201564).

The spelling of 13300131101233 in words is "thirteen trillion, three hundred billion, one hundred thirty-one million, one hundred one thousand, two hundred thirty-three".