1023032224129 has 2 divisors, whose sum is σ = 1023032224130. Its totient is φ = 1023032224128.

The previous prime is 1023032224103. The next prime is 1023032224169. The reversal of 1023032224129 is 9214222303201.

1023032224129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1008714905104 + 14317319025 = 1004348^2 + 119655^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023032224129 - 2¹³ = 1023032215937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023032224129.

It is not a weakly prime, because it can be changed into another prime (1023032224169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511516112064 + 511516112065.

It is an arithmetic number, because the mean of its divisors is an integer number (511516112065).

Almost surely, 2^{1023032224129} is an apocalyptic number.

It is an amenable number.

1023032224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023032224129 is an equidigital number, since it uses as much as digits as its factorization.

1023032224129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 1023032224129 in words is "one trillion, twenty-three billion, thirty-two million, two hundred twenty-four thousand, one hundred twenty-nine".