1313313120000 has 1080 divisors, whose sum is σ = 5460292821984. Its totient is φ = 297271296000.

The previous prime is 1313313119969. The next prime is 1313313120047. The reversal of 1313313120000 is 213133131.

It is a happy number.

1313313120000 is a `hidden beast` number, since 131 + 331 + 3 + 1 + 200 + 0 + 0 = 666.

It is a super-3 number, since 3×1313313120000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1139039424 + ... + 1139040576.

Almost surely, 2^{1313313120000} is an apocalyptic number.

1313313120000 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 1313313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730146410992).

1313313120000 is an abundant number, since it is smaller than the sum of its proper divisors (4146979701984).

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

1313313120000 is a wasteful number, since it uses less digits than its factorization.

1313313120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313313120000 its reverse (213133131), we get a palindrome (1313526253131).

It can be divided in two parts, 1313 and 313120000, that added together give a palindrome (313121313).

The spelling of 1313313120000 in words is "one trillion, three hundred thirteen billion, three hundred thirteen million, one hundred twenty thousand".