1023312323232 has 336 divisors, whose sum is σ = 3257173926720. Its totient is φ = 315263923200.

The previous prime is 1023312323221. The next prime is 1023312323249. The reversal of 1023312323232 is 2323232133201.

1023312323232 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 312 + 323 + 23 + 2 = 666.

It is a super-2 number, since 2×1023312323232² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1023312323196 and 1023312323205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18144357 + ... + 18200667.

It is an arithmetic number, because the mean of its divisors is an integer number (9693970020).

Almost surely, 2^{1023312323232} is an apocalyptic number.

1023312323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023312323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628586963360).

1023312323232 is an abundant number, since it is smaller than the sum of its proper divisors (2233861603488).

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

1023312323232 is an equidigital number, since it uses as much as digits as its factorization.

1023312323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56399 (or 56376 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1023312323232 its reverse (2323232133201), we get a palindrome (3346544456433).

The spelling of 1023312323232 in words is "one trillion, twenty-three billion, three hundred twelve million, three hundred twenty-three thousand, two hundred thirty-two".