1313022112020 has 144 divisors (see below), whose sum is σ = 3995308895760. Its totient is φ = 349043558400.

The previous prime is 1313022112019. The next prime is 1313022112049. The reversal of 1313022112020 is 202112203131.

1313022112020 is a `hidden beast` number, since 131 + 302 + 211 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16457297796 + 1296564814224 = 128286^2 + 1138668^2 .

It is a super-2 number, since 2×1313022112020² (a number of 25 digits) contains 22 as substring.

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 = 1313022111984 and 1313022112002.

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, 159711510 + ... + 159719730.

It is an arithmetic number, because the mean of its divisors is an integer number (27745200665).

Almost surely, 2^{1313022112020} is an apocalyptic number.

1313022112020 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 1313022112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997654447880).

1313022112020 is an abundant number, since it is smaller than the sum of its proper divisors (2682286783740).

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

1313022112020 is a wasteful number, since it uses less digits than its factorization.

1313022112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1313022112020 its reverse (202112203131), we get a palindrome (1515134315151).

The spelling of 1313022112020 in words is "one trillion, three hundred thirteen billion, twenty-two million, one hundred twelve thousand, twenty".