13331013012 has 36 divisors (see below), whose sum is σ = 35680065876. Its totient is φ = 4182278400.

The previous prime is 13331013001. The next prime is 13331013053. The reversal of 13331013012 is 21031013331.

It is a happy number.

13331013012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8340438276 + 4990574736 = 91326^2 + 70644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13331013012² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10890739 + ... + 10891962.

It is an arithmetic number, because the mean of its divisors is an integer number (991112941).

Almost surely, 2^13331013012 is an apocalyptic number.

13331013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331013012 is an abundant number, since it is smaller than the sum of its proper divisors (22349052864).

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

13331013012 is a wasteful number, since it uses less digits than its factorization.

13331013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21782728 (or 21782723 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13331013012 its reverse (21031013331), we get a palindrome (34362026343).

The spelling of 13331013012 in words is "thirteen billion, three hundred thirty-one million, thirteen thousand, twelve".