131029993 has 2 divisors, whose sum is σ = 131029994. Its totient is φ = 131029992.

The previous prime is 131029967. The next prime is 131030047. The reversal of 131029993 is 399920131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69438889 + 61591104 = 8333^2 + 7848^2 .

It is a cyclic number.

It is not a de Polignac number, because 131029993 - 2⁵ = 131029961 is a prime.

It is not a weakly prime, because it can be changed into another prime (131009993) 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 as a sum of consecutive naturals, namely, 65514996 + 65514997.

It is an arithmetic number, because the mean of its divisors is an integer number (65514997).

Almost surely, 2^131029993 is an apocalyptic number.

It is an amenable number.

131029993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131029993 is an equidigital number, since it uses as much as digits as its factorization.

131029993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 131029993 is about 11446.8333175599. The cubic root of 131029993 is about 507.9140649169.

The spelling of 131029993 in words is "one hundred thirty-one million, twenty-nine thousand, nine hundred ninety-three".