131334646364653 has 2 divisors, whose sum is σ = 131334646364654. Its totient is φ = 131334646364652.

The previous prime is 131334646364591. The next prime is 131334646364699. The reversal of 131334646364653 is 356463646433131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120854030049769 + 10480616314884 = 10993363^2 + 3237378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131334646364653 is a prime.

It is a super-2 number, since 2×131334646364653² (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 (131334646314653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65667323182326 + 65667323182327.

It is an arithmetic number, because the mean of its divisors is an integer number (65667323182327).

Almost surely, 2^{131334646364653} is an apocalyptic number.

It is an amenable number.

131334646364653 is a deficient number, since it is larger than the sum of its proper divisors (1).

131334646364653 is an equidigital number, since it uses as much as digits as its factorization.

131334646364653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100776960, while the sum is 58.

The spelling of 131334646364653 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, six hundred forty-six million, three hundred sixty-four thousand, six hundred fifty-three".