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13211332300037 is a prime number
BaseRepresentation
bin1100000001000000000011…
…0001001100110100000101
31201202222202110111200222002
43000100000301030310011
53212423302032100122
644033111405115045
72532326062456124
oct300200061146405
951688673450862
1013211332300037
114233992734713
121594540558a85
1374aa919cb871
14339609197abb
1517d9cc939992
hexc0400c4cd05

13211332300037 has 2 divisors, whose sum is σ = 13211332300038. Its totient is φ = 13211332300036.

The previous prime is 13211332299973. The next prime is 13211332300039. The reversal of 13211332300037 is 73000323311231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6749598804001 + 6461733496036 = 2597999^2 + 2541994^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211332300037 - 26 = 13211332299973 is a prime.

It is a super-2 number, since 2×132113323000372 (a number of 27 digits) contains 22 as substring.

Together with 13211332300039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13211332299982 and 13211332300009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13211332300039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605666150018 + 6605666150019.

It is an arithmetic number, because the mean of its divisors is an integer number (6605666150019).

Almost surely, 213211332300037 is an apocalyptic number.

It is an amenable number.

13211332300037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211332300037 is an equidigital number, since it uses as much as digits as its factorization.

13211332300037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

Adding to 13211332300037 its reverse (73000323311231), we get a palindrome (86211655611268).

The spelling of 13211332300037 in words is "thirteen trillion, two hundred eleven billion, three hundred thirty-two million, three hundred thousand, thirty-seven".