1023313332132 has 144 divisors (see below), whose sum is σ = 3351201759360. Its totient is φ = 255680354304.

The previous prime is 1023313332077. The next prime is 1023313332133. The reversal of 1023313332132 is 2312333133201.

1023313332132 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 313 + 332 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1023313332096 and 1023313332105.

It is not an unprimeable number, because it can be changed into a prime (1023313332133) 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 47 ways as a sum of consecutive naturals, for example, 8157933 + ... + 8282420.

It is an arithmetic number, because the mean of its divisors is an integer number (23272234440).

Almost surely, 2^{1023313332132} is an apocalyptic number.

1023313332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023313332132 is an abundant number, since it is smaller than the sum of its proper divisors (2327888427228).

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

1023313332132 is a wasteful number, since it uses less digits than its factorization.

1023313332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440402 (or 16440397 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1023313332132 its reverse (2312333133201), we get a palindrome (3335646465333).

The spelling of 1023313332132 in words is "one trillion, twenty-three billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-two".