131105993 has 2 divisors, whose sum is σ = 131105994. Its totient is φ = 131105992.

The previous prime is 131105981. The next prime is 131105999. The reversal of 131105993 is 399501131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101042704 + 30063289 = 10052^2 + 5483^2 .

It is a cyclic number.

It is not a de Polignac number, because 131105993 - 2⁶ = 131105929 is a prime.

It is a Chen prime.

It is equal to p_7437380 and since 131105993 and 7437380 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (131105999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65552996 + 65552997.

It is an arithmetic number, because the mean of its divisors is an integer number (65552997).

Almost surely, 2^131105993 is an apocalyptic number.

It is an amenable number.

131105993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131105993 is an equidigital number, since it uses as much as digits as its factorization.

131105993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3645, while the sum is 32.

The square root of 131105993 is about 11450.1525317351. The cubic root of 131105993 is about 508.0122460210.

The spelling of 131105993 in words is "one hundred thirty-one million, one hundred five thousand, nine hundred ninety-three".