1033112313120 has 48 divisors (see below), whose sum is σ = 3254303787840. Its totient is φ = 275496616704.

The previous prime is 1033112313071. The next prime is 1033112313127. The reversal of 1033112313120 is 213132113301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1033112313127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1076158180 + ... + 1076159139.

It is an arithmetic number, because the mean of its divisors is an integer number (67797995580).

Almost surely, 2^{1033112313120} is an apocalyptic number.

1033112313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033112313120 is an abundant number, since it is smaller than the sum of its proper divisors (2221191474720).

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

1033112313120 is a wasteful number, since it uses less digits than its factorization.

1033112313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152317337 (or 2152317329 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1033112313120 its reverse (213132113301), we get a palindrome (1246244426421).

The spelling of 1033112313120 in words is "one trillion, thirty-three billion, one hundred twelve million, three hundred thirteen thousand, one hundred twenty".