1021311310320 has 240 divisors, whose sum is σ = 3931528336320. Its totient is φ = 232749490176.

The previous prime is 1021311310297. The next prime is 1021311310333. The reversal of 1021311310320 is 230131131201.

1021311310320 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 31 + 1 + 310 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1021311310293 and 1021311310302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397826 + ... + 1999134.

It is an arithmetic number, because the mean of its divisors is an integer number (16381368068).

Almost surely, 2^{1021311310320} is an apocalyptic number.

1021311310320 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 1021311310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965764168160).

1021311310320 is an abundant number, since it is smaller than the sum of its proper divisors (2910217026000).

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

1021311310320 is a wasteful number, since it uses less digits than its factorization.

1021311310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601672 (or 601663 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1021311310320 its reverse (230131131201), we get a palindrome (1251442441521).

The spelling of 1021311310320 in words is "one trillion, twenty-one billion, three hundred eleven million, three hundred ten thousand, three hundred twenty".