137348082013 has 2 divisors, whose sum is σ = 137348082014. Its totient is φ = 137348082012.

The previous prime is 137348081989. The next prime is 137348082017. The reversal of 137348082013 is 310280843731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73044251289 + 64303830724 = 270267^2 + 253582^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137348082013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137348082017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68674041006 + 68674041007.

It is an arithmetic number, because the mean of its divisors is an integer number (68674041007).

Almost surely, 2^137348082013 is an apocalyptic number.

It is an amenable number.

137348082013 is a deficient number, since it is larger than the sum of its proper divisors (1).

137348082013 is an equidigital number, since it uses as much as digits as its factorization.

137348082013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 137348082013 in words is "one hundred thirty-seven billion, three hundred forty-eight million, eighty-two thousand, thirteen".