1023113134134 has 128 divisors (see below), whose sum is σ = 2894750208000. Its totient is φ = 260527446144.

The previous prime is 1023113134133. The next prime is 1023113134139. The reversal of 1023113134134 is 4314313113201.

1023113134134 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 3 + 1 + 341 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023113134098 and 1023113134107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023113134133) 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 63 ways as a sum of consecutive naturals, for example, 3447214 + ... + 3732225.

It is an arithmetic number, because the mean of its divisors is an integer number (22615236000).

Almost surely, 2^{1023113134134} is an apocalyptic number.

1023113134134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1023113134134 is an abundant number, since it is smaller than the sum of its proper divisors (1871637073866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023113134134 is a wasteful number, since it uses less digits than its factorization.

1023113134134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179499 (or 7179493 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1023113134134 its reverse (4314313113201), we get a palindrome (5337426247335).

The spelling of 1023113134134 in words is "one trillion, twenty-three billion, one hundred thirteen million, one hundred thirty-four thousand, one hundred thirty-four".