1033312133431 has 32 divisors (see below), whose sum is σ = 1102441439232. Its totient is φ = 966406066560.

The previous prime is 1033312133423. The next prime is 1033312133437. The reversal of 1033312133431 is 1343312133301.

It is a cyclic number.

It is not a de Polignac number, because 1033312133431 - 2³ = 1033312133423 is a prime.

It is a super-4 number, since 4×1033312133431⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1033312133431.

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, 257489181 + ... + 257493193.

It is an arithmetic number, because the mean of its divisors is an integer number (34451294976).

Almost surely, 2^{1033312133431} is an apocalyptic number.

1033312133431 is a deficient number, since it is larger than the sum of its proper divisors (69129305801).

1033312133431 is a wasteful number, since it uses less digits than its factorization.

1033312133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 1033312133431 its reverse (1343312133301), we get a palindrome (2376624266732).

The spelling of 1033312133431 in words is "one trillion, thirty-three billion, three hundred twelve million, one hundred thirty-three thousand, four hundred thirty-one".