10132435361 has 2 divisors, whose sum is σ = 10132435362. Its totient is φ = 10132435360.

The previous prime is 10132435321. The next prime is 10132435363. The reversal of 10132435361 is 16353423101.

10132435361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8157521761 + 1974913600 = 90319^2 + 44440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132435361 - 2¹⁴ = 10132418977 is a prime.

Together with 10132435363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10132435363) 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, 5066217680 + 5066217681.

It is an arithmetic number, because the mean of its divisors is an integer number (5066217681).

Almost surely, 2^10132435361 is an apocalyptic number.

It is an amenable number.

10132435361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132435361 is an equidigital number, since it uses as much as digits as its factorization.

10132435361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 10132435361 its reverse (16353423101), we get a palindrome (26485858462).

The spelling of 10132435361 in words is "ten billion, one hundred thirty-two million, four hundred thirty-five thousand, three hundred sixty-one".