1013120241312 has 48 divisors (see below), whose sum is σ = 2775068493120. Its totient is φ = 323023844352.

The previous prime is 1013120241293. The next prime is 1013120241313. The reversal of 1013120241312 is 2131420213101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1013120241312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013120241313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229418137 + ... + 229422552.

It is an arithmetic number, because the mean of its divisors is an integer number (57813926940).

Almost surely, 2^{1013120241312} is an apocalyptic number.

1013120241312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013120241312 is an abundant number, since it is smaller than the sum of its proper divisors (1761948251808).

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

1013120241312 is a wasteful number, since it uses less digits than its factorization.

1013120241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458840725 (or 458840717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1013120241312 its reverse (2131420213101), we get a palindrome (3144540454413).

The spelling of 1013120241312 in words is "one trillion, thirteen billion, one hundred twenty million, two hundred forty-one thousand, three hundred twelve".