137511013 has 2 divisors, whose sum is σ = 137511014. Its totient is φ = 137511012.

The previous prime is 137510957. The next prime is 137511047. The reversal of 137511013 is 310115731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82410084 + 55100929 = 9078^2 + 7423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137511013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137511083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68755506 + 68755507.

It is an arithmetic number, because the mean of its divisors is an integer number (68755507).

Almost surely, 2^137511013 is an apocalyptic number.

It is an amenable number.

137511013 is a deficient number, since it is larger than the sum of its proper divisors (1).

137511013 is an equidigital number, since it uses as much as digits as its factorization.

137511013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 137511013 is about 11726.5089860538. The cubic root of 137511013 is about 516.1538373614.

Adding to 137511013 its reverse (310115731), we get a palindrome (447626744).

The spelling of 137511013 in words is "one hundred thirty-seven million, five hundred eleven thousand, thirteen".