1020221111313 has 12 divisors (see below), whose sum is σ = 1513481168628. Its totient is φ = 661765044960.

The previous prime is 1020221111303. The next prime is 1020221111363. The reversal of 1020221111313 is 3131111220201.

1020221111313 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 111 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 920511681489 + 99709429824 = 959433^2 + 315768^2 .

It is not a de Polignac number, because 1020221111313 - 2⁶ = 1020221111249 is a prime.

It is a super-2 number, since 2×1020221111313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020221111303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1531863198 + ... + 1531863863.

It is an arithmetic number, because the mean of its divisors is an integer number (126123430719).

Almost surely, 2^{1020221111313} is an apocalyptic number.

It is an amenable number.

1020221111313 is a deficient number, since it is larger than the sum of its proper divisors (493260057315).

1020221111313 is a wasteful number, since it uses less digits than its factorization.

1020221111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063727104 (or 3063727101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1020221111313 its reverse (3131111220201), we get a palindrome (4151332331514).

The spelling of 1020221111313 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred eleven thousand, three hundred thirteen".