137100031 has 4 divisors (see below), whose sum is σ = 137245752. Its totient is φ = 136954312.

The previous prime is 137100013. The next prime is 137100037. The reversal of 137100031 is 130001731.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 137100031 - 2⁵ = 137099999 is a prime.

It is a super-2 number, since 2×137100031² = 37592837000401922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137099978 and 137100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137100037) 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 in 3 ways as a sum of consecutive naturals, for example, 71440 + ... + 73333.

It is an arithmetic number, because the mean of its divisors is an integer number (34311438).

Almost surely, 2^137100031 is an apocalyptic number.

137100031 is a deficient number, since it is larger than the sum of its proper divisors (145721).

137100031 is an equidigital number, since it uses as much as digits as its factorization.

137100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145720.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 137100031 is about 11708.9722435404. The cubic root of 137100031 is about 515.6391110237.

Adding to 137100031 its reverse (130001731), we get a palindrome (267101762).

The spelling of 137100031 in words is "one hundred thirty-seven million, one hundred thousand, thirty-one".