13013133021312 has 128 divisors (see below), whose sum is σ = 34703175297600. Its totient is φ = 4320544112640.

The previous prime is 13013133021311. The next prime is 13013133021337. The reversal of 13013133021312 is 21312033131031.

13013133021312 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13013133021311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110694148 + ... + 110811644.

Almost surely, 2^{13013133021312} is an apocalyptic number.

13013133021312 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 13013133021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351587648800).

13013133021312 is an abundant number, since it is smaller than the sum of its proper divisors (21690042276288).

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

13013133021312 is a wasteful number, since it uses less digits than its factorization.

13013133021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118654 (or 118642 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13013133021312 its reverse (21312033131031), we get a palindrome (34325166152343).

The spelling of 13013133021312 in words is "thirteen trillion, thirteen billion, one hundred thirty-three million, twenty-one thousand, three hundred twelve".