1000137331 has 2 divisors, whose sum is σ = 1000137332. Its totient is φ = 1000137330.

The previous prime is 1000137317. The next prime is 1000137367. The reversal of 1000137331 is 1337310001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (1337310001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000137331 - 2¹⁵ = 1000104563 is a prime.

It is a super-2 number, since 2×1000137331² = 2000549361719607122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000137299 and 1000137308.

It is not a weakly prime, because it can be changed into another prime (1000137631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500068665 + 500068666.

It is an arithmetic number, because the mean of its divisors is an integer number (500068666).

Almost surely, 2^1000137331 is an apocalyptic number.

1000137331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000137331 is an equidigital number, since it uses as much as digits as its factorization.

1000137331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 1000137331 is about 31624.9479209057. The cubic root of 1000137331 is about 1000.0457749046.

Adding to 1000137331 its reverse (1337310001), we get a palindrome (2337447332).

The spelling of 1000137331 in words is "one billion, one hundred thirty-seven thousand, three hundred thirty-one".