1023134144010 has 128 divisors (see below), whose sum is σ = 2698643036160. Its totient is φ = 246197318400.

The previous prime is 1023134143979. The next prime is 1023134144017. The reversal of 1023134144010 is 104414313201.

It is not an unprimeable number, because it can be changed into a prime (1023134144017) 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, 24993219 + ... + 25034121.

It is an arithmetic number, because the mean of its divisors is an integer number (21083148720).

Almost surely, 2^{1023134144010} is an apocalyptic number.

1023134144010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023134144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349321518080).

1023134144010 is an abundant number, since it is smaller than the sum of its proper divisors (1675508892150).

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

1023134144010 is a wasteful number, since it uses less digits than its factorization.

1023134144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41484.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1023134144010 its reverse (104414313201), we get a palindrome (1127548457211).

The spelling of 1023134144010 in words is "one trillion, twenty-three billion, one hundred thirty-four million, one hundred forty-four thousand, ten".