1013221012221 has 24 divisors (see below), whose sum is σ = 1690507787904. Its totient is φ = 577951378560.

The previous prime is 1013221012169. The next prime is 1013221012229. The reversal of 1013221012221 is 1222101223101.

1013221012221 is a `hidden beast` number, since 101 + 322 + 10 + 12 + 221 = 666.

It is not a de Polignac number, because 1013221012221 - 2¹¹ = 1013221010173 is a prime.

It is a super-3 number, since 3×1013221012221³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1013221012194 and 1013221012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013221012229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301014661 + ... + 301018026.

It is an arithmetic number, because the mean of its divisors is an integer number (70437824496).

Almost surely, 2^{1013221012221} is an apocalyptic number.

1013221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013221012221 is a deficient number, since it is larger than the sum of its proper divisors (677286775683).

1013221012221 is a wasteful number, since it uses less digits than its factorization.

1013221012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602032721 (or 602032718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1013221012221 its reverse (1222101223101), we get a palindrome (2235322235322).

It can be divided in two parts, 10 and 13221012221, that added together give a palindrome (13221012231).

The spelling of 1013221012221 in words is "one trillion, thirteen billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".