1310313020240 has 160 divisors (see below), whose sum is σ = 3518774784000. Its totient is φ = 444471552000.

The previous prime is 1310313020213. The next prime is 1310313020327. The reversal of 1310313020240 is 420203130131.

It is a super-3 number, since 3×1310313020240³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 83191886 + ... + 83207634.

It is an arithmetic number, because the mean of its divisors is an integer number (21992342400).

Almost surely, 2^{1310313020240} is an apocalyptic number.

1310313020240 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 1310313020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759387392000).

1310313020240 is an abundant number, since it is smaller than the sum of its proper divisors (2208461763760).

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

1310313020240 is a wasteful number, since it uses less digits than its factorization.

1310313020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17341 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1310313020240 its reverse (420203130131), we get a palindrome (1730516150371).

The spelling of 1310313020240 in words is "one trillion, three hundred ten billion, three hundred thirteen million, twenty thousand, two hundred forty".