102032032313 has 2 divisors, whose sum is σ = 102032032314. Its totient is φ = 102032032312.

The previous prime is 102032032279. The next prime is 102032032321. The reversal of 102032032313 is 313230230201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79731687424 + 22300344889 = 282368^2 + 149333^2 .

It is a cyclic number.

It is not a de Polignac number, because 102032032313 - 2¹⁴ = 102032015929 is a prime.

It is a super-2 number, since 2×102032032313² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102032032393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016016156 + 51016016157.

It is an arithmetic number, because the mean of its divisors is an integer number (51016016157).

Almost surely, 2^102032032313 is an apocalyptic number.

It is an amenable number.

102032032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102032032313 is an equidigital number, since it uses as much as digits as its factorization.

102032032313 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 20.

Adding to 102032032313 its reverse (313230230201), we get a palindrome (415262262514).

The spelling of 102032032313 in words is "one hundred two billion, thirty-two million, thirty-two thousand, three hundred thirteen".