13212321101137 has 2 divisors, whose sum is σ = 13212321101138. Its totient is φ = 13212321101136.

The previous prime is 13212321101131. The next prime is 13212321101183. The reversal of 13212321101137 is 73110112321231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13210288083216 + 2033017921 = 3634596^2 + 45089^2 .

It is an emirp because it is prime and its reverse (73110112321231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13212321101137 - 2¹⁹ = 13212320576849 is a prime.

It is not a weakly prime, because it can be changed into another prime (13212321101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606160550568 + 6606160550569.

It is an arithmetic number, because the mean of its divisors is an integer number (6606160550569).

Almost surely, 2^{13212321101137} is an apocalyptic number.

It is an amenable number.

13212321101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212321101137 is an equidigital number, since it uses as much as digits as its factorization.

13212321101137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 13212321101137 its reverse (73110112321231), we get a palindrome (86322433422368).

The spelling of 13212321101137 in words is "thirteen trillion, two hundred twelve billion, three hundred twenty-one million, one hundred one thousand, one hundred thirty-seven".