13101313300002 has 160 divisors (see below), whose sum is σ = 30601466280000. Its totient is φ = 4184258891904.

The previous prime is 13101313300001. The next prime is 13101313300043. The reversal of 13101313300002 is 20000331310131.

It is a happy number.

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 (13101313300001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2311042024 + ... + 2311047692.

It is an arithmetic number, because the mean of its divisors is an integer number (191259164250).

Almost surely, 2^{13101313300002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101313300002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300733140000).

13101313300002 is an abundant number, since it is smaller than the sum of its proper divisors (17500152979998).

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

13101313300002 is a wasteful number, since it uses less digits than its factorization.

13101313300002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9381 counting only the distinct ones).

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

Adding to 13101313300002 its reverse (20000331310131), we get a palindrome (33101644610133).

The spelling of 13101313300002 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, three hundred thousand, two".