1313033331312 has 120 divisors (see below), whose sum is σ = 3713718765120. Its totient is φ = 433029611520.

The previous prime is 1313033331263. The next prime is 1313033331391. The reversal of 1313033331312 is 2131333303131.

1313033331312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 333 + 313 + 12 = 666.

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 23 ways as a sum of consecutive naturals, for example, 50704864 + ... + 50730752.

It is an arithmetic number, because the mean of its divisors is an integer number (30947656376).

Almost surely, 2^{1313033331312} is an apocalyptic number.

1313033331312 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 1313033331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856859382560).

1313033331312 is an abundant number, since it is smaller than the sum of its proper divisors (2400685433808).

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

1313033331312 is a wasteful number, since it uses less digits than its factorization.

1313033331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29631 (or 29622 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1313033331312 its reverse (2131333303131), we get a palindrome (3444366634443).

The spelling of 1313033331312 in words is "one trillion, three hundred thirteen billion, thirty-three million, three hundred thirty-one thousand, three hundred twelve".