131331112733413 has 2 divisors, whose sum is σ = 131331112733414. Its totient is φ = 131331112733412.

The previous prime is 131331112733407. The next prime is 131331112733449. The reversal of 131331112733413 is 314337211133131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129997554312609 + 1333558420804 = 11401647^2 + 1154798^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331112733413 - 2⁴¹ = 129132089477861 is a prime.

It is a super-2 number, since 2×131331112733413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131331112733713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665556366706 + 65665556366707.

It is an arithmetic number, because the mean of its divisors is an integer number (65665556366707).

Almost surely, 2^{131331112733413} is an apocalyptic number.

It is an amenable number.

131331112733413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331112733413 is an equidigital number, since it uses as much as digits as its factorization.

131331112733413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 37.

Adding to 131331112733413 its reverse (314337211133131), we get a palindrome (445668323866544).

The spelling of 131331112733413 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, one hundred twelve million, seven hundred thirty-three thousand, four hundred thirteen".