131111993 has 2 divisors, whose sum is σ = 131111994. Its totient is φ = 131111992.

The previous prime is 131111977. The next prime is 131112001. The reversal of 131111993 is 399111131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130942249 + 169744 = 11443^2 + 412^2 .

It is a cyclic number.

It is not a de Polignac number, because 131111993 - 2⁴ = 131111977 is a prime.

It is not a weakly prime, because it can be changed into another prime (131111923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555996 + 65555997.

It is an arithmetic number, because the mean of its divisors is an integer number (65555997).

Almost surely, 2^131111993 is an apocalyptic number.

It is an amenable number.

131111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131111993 is an equidigital number, since it uses as much as digits as its factorization.

131111993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 729, while the sum is 29.

The square root of 131111993 is about 11450.4145339809. The cubic root of 131111993 is about 508.0199955446.

The spelling of 131111993 in words is "one hundred thirty-one million, one hundred eleven thousand, nine hundred ninety-three".