1020313324240 has 320 divisors, whose sum is σ = 2937329713152. Its totient is φ = 321924556800.

The previous prime is 1020313324213. The next prime is 1020313324259. The reversal of 1020313324240 is 424233130201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69068055 + ... + 69082825.

Almost surely, 2^{1020313324240} is an apocalyptic number.

1020313324240 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 1020313324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468664856576).

1020313324240 is an abundant number, since it is smaller than the sum of its proper divisors (1917016388912).

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

1020313324240 is a wasteful number, since it uses less digits than its factorization.

1020313324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15018 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1020313324240 its reverse (424233130201), we get a palindrome (1444546454441).

The spelling of 1020313324240 in words is "one trillion, twenty billion, three hundred thirteen million, three hundred twenty-four thousand, two hundred forty".