13102011137 has 2 divisors, whose sum is σ = 13102011138. Its totient is φ = 13102011136.

The previous prime is 13102011103. The next prime is 13102011149. The reversal of 13102011137 is 73111020131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12136106896 + 965904241 = 110164^2 + 31079^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102011137 - 2¹⁶ = 13101945601 is a prime.

It is not a weakly prime, because it can be changed into another prime (13102013137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551005568 + 6551005569.

It is an arithmetic number, because the mean of its divisors is an integer number (6551005569).

Almost surely, 2^13102011137 is an apocalyptic number.

It is an amenable number.

13102011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102011137 is an equidigital number, since it uses as much as digits as its factorization.

13102011137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 13102011137 its reverse (73111020131), we get a palindrome (86213031268).

The spelling of 13102011137 in words is "thirteen billion, one hundred two million, eleven thousand, one hundred thirty-seven".