1011313311221 has 8 divisors (see below), whose sum is σ = 1011945720000. Its totient is φ = 1010681006400.

The previous prime is 1011313311193. The next prime is 1011313311227. The reversal of 1011313311221 is 1221133131101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011313311221 is a prime.

It is a super-2 number, since 2×1011313311221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011313311193 and 1011313311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011313311227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29297030 + ... + 29331528.

It is an arithmetic number, because the mean of its divisors is an integer number (126493215000).

Almost surely, 2^{1011313311221} is an apocalyptic number.

It is an amenable number.

1011313311221 is a deficient number, since it is larger than the sum of its proper divisors (632408779).

1011313311221 is a wasteful number, since it uses less digits than its factorization.

1011313311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51979.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1011313311221 its reverse (1221133131101), we get a palindrome (2232446442322).

The spelling of 1011313311221 in words is "one trillion, eleven billion, three hundred thirteen million, three hundred eleven thousand, two hundred twenty-one".