137191331 has 2 divisors, whose sum is σ = 137191332. Its totient is φ = 137191330.

The previous prime is 137191319. The next prime is 137191333. The reversal of 137191331 is 133191731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137191331 - 2²² = 132997027 is a prime.

It is a super-2 number, since 2×137191331² = 37642922603103122, which contains 22 as substring.

Together with 137191333, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 137191331 parts by 16564 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 137191294 and 137191303.

It is not a weakly prime, because it can be changed into another prime (137191333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68595665 + 68595666.

It is an arithmetic number, because the mean of its divisors is an integer number (68595666).

Almost surely, 2^137191331 is an apocalyptic number.

137191331 is a deficient number, since it is larger than the sum of its proper divisors (1).

137191331 is an equidigital number, since it uses as much as digits as its factorization.

137191331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 29.

The square root of 137191331 is about 11712.8703143166. The cubic root of 137191331 is about 515.7535467002.

The spelling of 137191331 in words is "one hundred thirty-seven million, one hundred ninety-one thousand, three hundred thirty-one".