1023133042432 has 72 divisors (see below), whose sum is σ = 2051417136384. Its totient is φ = 509278608384.

The previous prime is 1023133042397. The next prime is 1023133042469. The reversal of 1023133042432 is 2342403313201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023133042432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84250953 + ... + 84263095.

It is an arithmetic number, because the mean of its divisors is an integer number (28491904672).

Almost surely, 2^{1023133042432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023133042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025708568192).

1023133042432 is an abundant number, since it is smaller than the sum of its proper divisors (1028284093952).

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

1023133042432 is a wasteful number, since it uses less digits than its factorization.

1023133042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13605 (or 13591 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1023133042432 its reverse (2342403313201), we get a palindrome (3365536355633).

The spelling of 1023133042432 in words is "one trillion, twenty-three billion, one hundred thirty-three million, forty-two thousand, four hundred thirty-two".