1033213121112 has 64 divisors (see below), whose sum is σ = 2642612544000. Its totient is φ = 336486084480.

The previous prime is 1033213121077. The next prime is 1033213121147. The reversal of 1033213121112 is 2111213123301.

It is an interprime number because it is at equal distance from previous prime (1033213121077) and next prime (1033213121147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157987 + ... + 1446162.

It is an arithmetic number, because the mean of its divisors is an integer number (41290821000).

Almost surely, 2^{1033213121112} is an apocalyptic number.

1033213121112 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 1033213121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321306272000).

1033213121112 is an abundant number, since it is smaller than the sum of its proper divisors (1609399422888).

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

1033213121112 is a wasteful number, since it uses less digits than its factorization.

1033213121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604776 (or 1604772 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1033213121112 its reverse (2111213123301), we get a palindrome (3144426244413).

The spelling of 1033213121112 in words is "one trillion, thirty-three billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred twelve".