1013112213120 has 256 divisors, whose sum is σ = 4100692780800. Its totient is φ = 231568478208.

The previous prime is 1013112213103. The next prime is 1013112213121. The reversal of 1013112213120 is 213122113101.

1013112213120 is a `hidden beast` number, since 1 + 0 + 131 + 1 + 221 + 312 + 0 = 666.

It is a super-3 number, since 3×1013112213120³ (a number of 37 digits) contains 333 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 = 1013112213093 and 1013112213102.

It is not an unprimeable number, because it can be changed into a prime (1013112213121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4066839 + ... + 4308758.

It is an arithmetic number, because the mean of its divisors is an integer number (16018331175).

Almost surely, 2^{1013112213120} is an apocalyptic number.

1013112213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013112213120 is an abundant number, since it is smaller than the sum of its proper divisors (3087580567680).

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

1013112213120 is an equidigital number, since it uses as much as digits as its factorization.

1013112213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8375632 (or 8375614 counting only the distinct ones).

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

Adding to 1013112213120 its reverse (213122113101), we get a palindrome (1226234326221).

The spelling of 1013112213120 in words is "one trillion, thirteen billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty".