1032131312213 has 2 divisors, whose sum is σ = 1032131312214. Its totient is φ = 1032131312212.

The previous prime is 1032131312171. The next prime is 1032131312231. The reversal of 1032131312213 is 3122131312301.

Together with next prime (1032131312231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 692094214084 + 340037098129 = 831922^2 + 583127^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032131312213 - 2²⁶ = 1032064203349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1032131312273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516065656106 + 516065656107.

It is an arithmetic number, because the mean of its divisors is an integer number (516065656107).

Almost surely, 2^{1032131312213} is an apocalyptic number.

It is an amenable number.

1032131312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032131312213 is an equidigital number, since it uses as much as digits as its factorization.

1032131312213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1032131312213 its reverse (3122131312301), we get a palindrome (4154262624514).

The spelling of 1032131312213 in words is "one trillion, thirty-two billion, one hundred thirty-one million, three hundred twelve thousand, two hundred thirteen".