1313322033120 has 96 divisors (see below), whose sum is σ = 4137357813120. Its totient is φ = 350185904640.

The previous prime is 1313322033119. The next prime is 1313322033157. The reversal of 1313322033120 is 213302233131.

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

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5145315 + ... + 5394525.

It is an arithmetic number, because the mean of its divisors is an integer number (43097477220).

Almost surely, 2^{1313322033120} is an apocalyptic number.

1313322033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313322033120 is an abundant number, since it is smaller than the sum of its proper divisors (2824035780000).

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

1313322033120 is a wasteful number, since it uses less digits than its factorization.

1313322033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260208 (or 260200 counting only the distinct ones).

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

Adding to 1313322033120 its reverse (213302233131), we get a palindrome (1526624266251).

The spelling of 1313322033120 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, thirty-three thousand, one hundred twenty".