1313311132320 has 192 divisors, whose sum is σ = 4516198727040. Its totient is φ = 318153830400.

The previous prime is 1313311132283. The next prime is 1313311132333. The reversal of 1313311132320 is 232311133131.

It is a super-2 number, since 2×1313311132320² (a number of 25 digits) contains 22 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7458090 + ... + 7632150.

It is an arithmetic number, because the mean of its divisors is an integer number (23521868370).

Almost surely, 2^{1313311132320} is an apocalyptic number.

1313311132320 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 1313311132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258099363520).

1313311132320 is an abundant number, since it is smaller than the sum of its proper divisors (3202887594720).

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

1313311132320 is a wasteful number, since it uses less digits than its factorization.

1313311132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175519 (or 175511 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1313311132320 its reverse (232311133131), we get a palindrome (1545622265451).

The spelling of 1313311132320 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, one hundred thirty-two thousand, three hundred twenty".