1013313021312 has 64 divisors (see below), whose sum is σ = 2693689297200. Its totient is φ = 337510416384.

The previous prime is 1013313021247. The next prime is 1013313021319. The reversal of 1013313021312 is 2131203133101.

It is a happy number.

1013313021312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013313021319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519237 + ... + 1515332.

Almost surely, 2^{1013313021312} is an apocalyptic number.

1013313021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013313021312 is an abundant number, since it is smaller than the sum of its proper divisors (1680376275888).

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

1013313021312 is a wasteful number, since it uses less digits than its factorization.

1013313021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035883 (or 2035871 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1013313021312 its reverse (2131203133101), we get a palindrome (3144516154413).

The spelling of 1013313021312 in words is "one trillion, thirteen billion, three hundred thirteen million, twenty-one thousand, three hundred twelve".