13120221310002 has 96 divisors (see below), whose sum is σ = 29990670982272. Its totient is φ = 4140074115072.

The previous prime is 13120221309953. The next prime is 13120221310003. The reversal of 13120221310002 is 20001312202131.

13120221310002 is a `hidden beast` number, since 13 + 120 + 221 + 310 + 0 + 0 + 2 = 666.

13120221310002 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 not an unprimeable number, because it can be changed into a prime (13120221310003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6468643 + ... + 8251289.

It is an arithmetic number, because the mean of its divisors is an integer number (312402822732).

Almost surely, 2^{13120221310002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120221310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995335491136).

13120221310002 is an abundant number, since it is smaller than the sum of its proper divisors (16870449672270).

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

13120221310002 is a wasteful number, since it uses less digits than its factorization.

13120221310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782992 (or 1782989 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13120221310002 its reverse (20001312202131), we get a palindrome (33121533512133).

It can be divided in two parts, 13120 and 221310002, that added together give a palindrome (221323122).

The spelling of 13120221310002 in words is "thirteen trillion, one hundred twenty billion, two hundred twenty-one million, three hundred ten thousand, two".