13331002101012 has 120 divisors (see below), whose sum is σ = 35690630355072. Its totient is φ = 4337702712000.

The previous prime is 13331002100993. The next prime is 13331002101017. The reversal of 13331002101012 is 21010120013331.

13331002101012 is a `hidden beast` number, since 1 + 333 + 100 + 210 + 10 + 12 = 666.

13331002101012 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 (13331002101017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545448 + ... + 5192255.

Almost surely, 2^{13331002101012} is an apocalyptic number.

13331002101012 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 13331002101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845315177536).

13331002101012 is an abundant number, since it is smaller than the sum of its proper divisors (22359628254060).

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

13331002101012 is a wasteful number, since it uses less digits than its factorization.

13331002101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737891 (or 5737880 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13331002101012 its reverse (21010120013331), we get a palindrome (34341122114343).

The spelling of 13331002101012 in words is "thirteen trillion, three hundred thirty-one billion, two million, one hundred one thousand, twelve".