1013241312 has 120 divisors (see below), whose sum is σ = 2991448152. Its totient is φ = 336441600.

The previous prime is 1013241311. The next prime is 1013241331. The reversal of 1013241312 is 2131423101.

1013241312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1013241311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 857362 + ... + 858542.

Almost surely, 2^1013241312 is an apocalyptic number.

1013241312 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 1013241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495724076).

1013241312 is an abundant number, since it is smaller than the sum of its proper divisors (1978206840).

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

1013241312 is a wasteful number, since it uses less digits than its factorization.

1013241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013241312 is about 31831.4516162867. The cubic root of 1013241312 is about 1004.3944313528.

Adding to 1013241312 its reverse (2131423101), we get a palindrome (3144664413).

The spelling of 1013241312 in words is "one billion, thirteen million, two hundred forty-one thousand, three hundred twelve".