13000102212000 has 192 divisors, whose sum is σ = 42602941180800. Its totient is φ = 3465504972800.

The previous prime is 13000102211983. The next prime is 13000102212007. The reversal of 13000102212000 is 21220100031.

13000102212000 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 (12).

It is not an unprimeable number, because it can be changed into a prime (13000102212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35083696 + ... + 35452304.

It is an arithmetic number, because the mean of its divisors is an integer number (221890318650).

Almost surely, 2^{13000102212000} is an apocalyptic number.

13000102212000 is a gapful number since it is divisible by the number (10) 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 13000102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301470590400).

13000102212000 is an abundant number, since it is smaller than the sum of its proper divisors (29602838968800).

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

13000102212000 is a wasteful number, since it uses less digits than its factorization.

13000102212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371576 (or 371558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13000102212000 its reverse (21220100031), we get a palindrome (13021322312031).

The spelling of 13000102212000 in words is "thirteen trillion, one hundred two million, two hundred twelve thousand".