1013140113120 has 144 divisors (see below), whose sum is σ = 3458390055120. Its totient is φ = 270088691712.

The previous prime is 1013140113113. The next prime is 1013140113133. The reversal of 1013140113120 is 213110413101.

It is a happy number.

1013140113120 is a `hidden beast` number, since 1 + 0 + 131 + 401 + 13 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1013140113120² (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 junction number, because it is equal to n+sod(n) for n = 1013140113093 and 1013140113102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4714576 + ... + 4924784.

It is an arithmetic number, because the mean of its divisors is an integer number (24016597605).

Almost surely, 2^{1013140113120} is an apocalyptic number.

1013140113120 is a gapful number since it is divisible by the number (10) 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 1013140113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729195027560).

1013140113120 is an abundant number, since it is smaller than the sum of its proper divisors (2445249942000).

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

1013140113120 is a wasteful number, since it uses less digits than its factorization.

1013140113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213577 (or 213566 counting only the distinct ones).

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

Adding to 1013140113120 its reverse (213110413101), we get a palindrome (1226250526221).

The spelling of 1013140113120 in words is "one trillion, thirteen billion, one hundred forty million, one hundred thirteen thousand, one hundred twenty".