131033813 has 2 divisors, whose sum is σ = 131033814. Its totient is φ = 131033812.

The previous prime is 131033801. The next prime is 131033821. The reversal of 131033813 is 318330131.

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., 131033809 + 4 = 11447^2 + 2^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131033813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131033873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65516906 + 65516907.

It is an arithmetic number, because the mean of its divisors is an integer number (65516907).

Almost surely, 2^131033813 is an apocalyptic number.

It is an amenable number.

131033813 is a deficient number, since it is larger than the sum of its proper divisors (1).

131033813 is an equidigital number, since it uses as much as digits as its factorization.

131033813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 131033813 is about 11447.0001747183. Note that the first 3 decimals coincide. The cubic root of 131033813 is about 507.9190007153.

Adding to 131033813 its reverse (318330131), we get a palindrome (449363944).

The spelling of 131033813 in words is "one hundred thirty-one million, thirty-three thousand, eight hundred thirteen".