1313132322120 has 512 divisors, whose sum is σ = 4326174144000. Its totient is φ = 317708697600.

The previous prime is 1313132322091. The next prime is 1313132322163. The reversal of 1313132322120 is 212232313131.

It is a super-3 number, since 3×1313132322120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 1951162104 + ... + 1951162776.

It is an arithmetic number, because the mean of its divisors is an integer number (8449558875).

Almost surely, 2^{1313132322120} is an apocalyptic number.

1313132322120 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 1313132322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163087072000).

1313132322120 is an abundant number, since it is smaller than the sum of its proper divisors (3013041821880).

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

1313132322120 is a wasteful number, since it uses less digits than its factorization.

1313132322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1313132322120 its reverse (212232313131), we get a palindrome (1525364635251).

The spelling of 1313132322120 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty".