10372382129 has 2 divisors, whose sum is σ = 10372382130. Its totient is φ = 10372382128.

The previous prime is 10372382071. The next prime is 10372382249. The reversal of 10372382129 is 92128327301.

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., 7275237025 + 3097145104 = 85295^2 + 55652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10372382129 - 2¹⁶ = 10372316593 is a prime.

It is a super-3 number, since 3×10372382129³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10372382092 and 10372382101.

It is not a weakly prime, because it can be changed into another prime (10372385129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5186191064 + 5186191065.

It is an arithmetic number, because the mean of its divisors is an integer number (5186191065).

Almost surely, 2^10372382129 is an apocalyptic number.

It is an amenable number.

10372382129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10372382129 is an equidigital number, since it uses as much as digits as its factorization.

10372382129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10372382129 in words is "ten billion, three hundred seventy-two million, three hundred eighty-two thousand, one hundred twenty-nine".