1033312133436 has 96 divisors (see below), whose sum is σ = 2668272800256. Its totient is φ = 308604672000.

The previous prime is 1033312133423. The next prime is 1033312133437. The reversal of 1033312133436 is 6343312133301.

1033312133436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1033312133397 and 1033312133406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033312133437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13075201 + ... + 13153991.

It is an arithmetic number, because the mean of its divisors is an integer number (27794508336).

Almost surely, 2^{1033312133436} 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 1033312133436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334136400128).

1033312133436 is an abundant number, since it is smaller than the sum of its proper divisors (1634960666820).

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

1033312133436 is a wasteful number, since it uses less digits than its factorization.

1033312133436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80243 (or 80241 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 1033312133436 its reverse (6343312133301), we get a palindrome (7376624266737).

The spelling of 1033312133436 in words is "one trillion, thirty-three billion, three hundred twelve million, one hundred thirty-three thousand, four hundred thirty-six".