1031133033120 has 96 divisors (see below), whose sum is σ = 3250671480000. Its totient is φ = 274748497920.

The previous prime is 1031133033079. The next prime is 1031133033127. The reversal of 1031133033120 is 213303311301.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1031133033127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260446 + ... + 1459485.

It is an arithmetic number, because the mean of its divisors is an integer number (33861161250).

Almost surely, 2^{1031133033120} is an apocalyptic number.

1031133033120 is a gapful number since it is divisible by the number (10) 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 1031133033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625335740000).

1031133033120 is an abundant number, since it is smaller than the sum of its proper divisors (2219538446880).

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

1031133033120 is a wasteful number, since it uses less digits than its factorization.

1031133033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721198 (or 1721190 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1031133033120 its reverse (213303311301), we get a palindrome (1244436344421).

The spelling of 1031133033120 in words is "one trillion, thirty-one billion, one hundred thirty-three million, thirty-three thousand, one hundred twenty".