1013031137 has 2 divisors, whose sum is σ = 1013031138. Its totient is φ = 1013031136.

The previous prime is 1013031049. The next prime is 1013031163. The reversal of 1013031137 is 7311303101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 839608576 + 173422561 = 28976^2 + 13169^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013031137 - 2¹⁰ = 1013030113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013031637) 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, 506515568 + 506515569.

It is an arithmetic number, because the mean of its divisors is an integer number (506515569).

Almost surely, 2^1013031137 is an apocalyptic number.

It is an amenable number.

1013031137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013031137 is an equidigital number, since it uses as much as digits as its factorization.

1013031137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 1013031137 is about 31828.1500719096. The cubic root of 1013031137 is about 1004.3249799152.

Adding to 1013031137 its reverse (7311303101), we get a palindrome (8324334238).

It can be divided in two parts, 101303 and 1137, that multiplied together give a palindrome (115181511).

The spelling of 1013031137 in words is "one billion, thirteen million, thirty-one thousand, one hundred thirty-seven".