137386315965001 has 2 divisors, whose sum is σ = 137386315965002. Its totient is φ = 137386315965000.

The previous prime is 137386315964999. The next prime is 137386315965083. The reversal of 137386315965001 is 100569513683731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90688500348601 + 46697815616400 = 9523051^2 + 6833580^2 .

It is a cyclic number.

It is not a de Polignac number, because 137386315965001 - 2¹ = 137386315964999 is a prime.

Together with 137386315964999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137386315945001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68693157982500 + 68693157982501.

It is an arithmetic number, because the mean of its divisors is an integer number (68693157982501).

Almost surely, 2^{137386315965001} is an apocalyptic number.

It is an amenable number.

137386315965001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137386315965001 is an equidigital number, since it uses as much as digits as its factorization.

137386315965001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 137386315965001 in words is "one hundred thirty-seven trillion, three hundred eighty-six billion, three hundred fifteen million, nine hundred sixty-five thousand, one".