1023134424129 has 24 divisors (see below), whose sum is σ = 1487835701352. Its totient is φ = 677497363200.

The previous prime is 1023134424119. The next prime is 1023134424133. The reversal of 1023134424129 is 9214244313201.

1023134424129 is a `hidden beast` number, since 1 + 0 + 231 + 3 + 4 + 4 + 2 + 412 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 406559264400 + 616575159729 = 637620^2 + 785223^2 .

It is not a de Polignac number, because 1023134424129 - 2¹¹ = 1023134422081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023134424093 and 1023134424102.

It is not an unprimeable number, because it can be changed into a prime (1023134424119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585487 + ... + 1545659.

It is an arithmetic number, because the mean of its divisors is an integer number (61993154223).

Almost surely, 2^{1023134424129} is an apocalyptic number.

It is an amenable number.

1023134424129 is a deficient number, since it is larger than the sum of its proper divisors (464701277223).

1023134424129 is a wasteful number, since it uses less digits than its factorization.

1023134424129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960977 (or 960974 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1023134424129 in words is "one trillion, twenty-three billion, one hundred thirty-four million, four hundred twenty-four thousand, one hundred twenty-nine".