13200101137 has 2 divisors, whose sum is σ = 13200101138. Its totient is φ = 13200101136.

The previous prime is 13200101113. The next prime is 13200101179. The reversal of 13200101137 is 73110100231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8410907521 + 4789193616 = 91711^2 + 69204^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200101137 - 2¹⁵ = 13200068369 is a prime.

It is not a weakly prime, because it can be changed into another prime (13200141137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600050568 + 6600050569.

It is an arithmetic number, because the mean of its divisors is an integer number (6600050569).

Almost surely, 2^13200101137 is an apocalyptic number.

It is an amenable number.

13200101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200101137 is an equidigital number, since it uses as much as digits as its factorization.

13200101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 13200101137 its reverse (73110100231), we get a palindrome (86310201368).

The spelling of 13200101137 in words is "thirteen billion, two hundred million, one hundred one thousand, one hundred thirty-seven".