2033133012312 has 128 divisors (see below), whose sum is σ = 5387596243200. Its totient is φ = 637581224448.

The previous prime is 2033133012307. The next prime is 2033133012343. The reversal of 2033133012312 is 2132103313302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 69170083 + ... + 69199469.

It is an arithmetic number, because the mean of its divisors is an integer number (42090595650).

Almost surely, 2^{2033133012312} 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 2033133012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693798121600).

2033133012312 is an abundant number, since it is smaller than the sum of its proper divisors (3354463230888).

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

2033133012312 is a wasteful number, since it uses less digits than its factorization.

2033133012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30465 (or 30461 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2033133012312 its reverse (2132103313302), we get a palindrome (4165236325614).

The spelling of 2033133012312 in words is "two trillion, thirty-three billion, one hundred thirty-three million, twelve thousand, three hundred twelve".