1013220003312 has 240 divisors, whose sum is σ = 3139065086976. Its totient is φ = 302508864000.

The previous prime is 1013220003311. The next prime is 1013220003337. The reversal of 1013220003312 is 2133000223101.

1013220003312 is a `hidden beast` number, since 1 + 0 + 132 + 200 + 0 + 331 + 2 = 666.

It is a super-2 number, since 2×1013220003312² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013220003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300389658 + ... + 300393030.

Almost surely, 2^{1013220003312} is an apocalyptic number.

1013220003312 is a gapful number since it is divisible by the number (12) 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 1013220003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569532543488).

1013220003312 is an abundant number, since it is smaller than the sum of its proper divisors (2125845083664).

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

1013220003312 is a wasteful number, since it uses less digits than its factorization.

1013220003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013220003312 its reverse (2133000223101), we get a palindrome (3146220226413).

The spelling of 1013220003312 in words is "one trillion, thirteen billion, two hundred twenty million, three thousand, three hundred twelve".