20131130137 has 2 divisors, whose sum is σ = 20131130138. Its totient is φ = 20131130136.

The previous prime is 20131130101. The next prime is 20131130153. The reversal of 20131130137 is 73103113102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19823513616 + 307616521 = 140796^2 + 17539^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131130137 - 2¹¹ = 20131128089 is a prime.

It is not a weakly prime, because it can be changed into another prime (20131130177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065565068 + 10065565069.

It is an arithmetic number, because the mean of its divisors is an integer number (10065565069).

Almost surely, 2^20131130137 is an apocalyptic number.

It is an amenable number.

20131130137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131130137 is an equidigital number, since it uses as much as digits as its factorization.

20131130137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 20131130137 its reverse (73103113102), we get a palindrome (93234243239).

The spelling of 20131130137 in words is "twenty billion, one hundred thirty-one million, one hundred thirty thousand, one hundred thirty-seven".