137043031 has 2 divisors, whose sum is σ = 137043032. Its totient is φ = 137043030.

The previous prime is 137043013. The next prime is 137043037. The reversal of 137043031 is 130340731.

It is a happy number.

Together with previous prime (137043013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (130340731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137043031 - 2⁵ = 137042999 is a prime.

It is a super-4 number, since 4×137043031⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 137042993 and 137043011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137043037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68521515 + 68521516.

It is an arithmetic number, because the mean of its divisors is an integer number (68521516).

Almost surely, 2^137043031 is an apocalyptic number.

137043031 is a deficient number, since it is larger than the sum of its proper divisors (1).

137043031 is an equidigital number, since it uses as much as digits as its factorization.

137043031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 137043031 is about 11706.5379596190. The cubic root of 137043031 is about 515.5676413013.

Adding to 137043031 its reverse (130340731), we get a palindrome (267383762).

The spelling of 137043031 in words is "one hundred thirty-seven million, forty-three thousand, thirty-one".