2233031313120 has 192 divisors, whose sum is σ = 7073438400000. Its totient is φ = 592143906816.

The previous prime is 2233031313061. The next prime is 2233031313137. The reversal of 2233031313120 is 213131303322.

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, 197625231 + ... + 197636529.

It is an arithmetic number, because the mean of its divisors is an integer number (36840825000).

Almost surely, 2^{2233031313120} is an apocalyptic number.

2233031313120 is a gapful number since it is divisible by the number (20) 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 2233031313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536719200000).

2233031313120 is an abundant number, since it is smaller than the sum of its proper divisors (4840407086880).

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

2233031313120 is a wasteful number, since it uses less digits than its factorization.

2233031313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13585 (or 13577 counting only the distinct ones).

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

Adding to 2233031313120 its reverse (213131303322), we get a palindrome (2446162616442).

The spelling of 2233031313120 in words is "two trillion, two hundred thirty-three billion, thirty-one million, three hundred thirteen thousand, one hundred twenty".