1021313113020 has 144 divisors (see below), whose sum is σ = 3131211414240. Its totient is φ = 269433408000.

The previous prime is 1021313113013. The next prime is 1021313113039. The reversal of 1021313113020 is 203113131201.

1021313113020 is a `hidden beast` number, since 1 + 0 + 21 + 31 + 311 + 302 + 0 = 666.

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 = 1021313112984 and 1021313113002.

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, 22866310 + ... + 22910930.

It is an arithmetic number, because the mean of its divisors is an integer number (21744523710).

Almost surely, 2^{1021313113020} is an apocalyptic number.

1021313113020 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 1021313113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565605707120).

1021313113020 is an abundant number, since it is smaller than the sum of its proper divisors (2109898301220).

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

1021313113020 is a wasteful number, since it uses less digits than its factorization.

1021313113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45996 (or 45991 counting only the distinct ones).

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

Adding to 1021313113020 its reverse (203113131201), we get a palindrome (1224426244221).

The spelling of 1021313113020 in words is "one trillion, twenty-one billion, three hundred thirteen million, one hundred thirteen thousand, twenty".