1311033033120 has 96 divisors (see below), whose sum is σ = 4166300722752. Its totient is φ = 346514911232.

The previous prime is 1311033033073. The next prime is 1311033033139. The reversal of 1311033033120 is 213303301131.

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

It is a super-2 number, since 2×1311033033120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12031242 + ... + 12139721.

It is an arithmetic number, because the mean of its divisors is an integer number (43398965862).

Almost surely, 2^{1311033033120} is an apocalyptic number.

1311033033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311033033120 is an abundant number, since it is smaller than the sum of its proper divisors (2855267689632).

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

1311033033120 is a wasteful number, since it uses less digits than its factorization.

1311033033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24171094 (or 24171086 counting only the distinct ones).

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

Adding to 1311033033120 its reverse (213303301131), we get a palindrome (1524336334251).

The spelling of 1311033033120 in words is "one trillion, three hundred eleven billion, thirty-three million, thirty-three thousand, one hundred twenty".