13300213211312 has 80 divisors (see below), whose sum is σ = 27760737544320. Its totient is φ = 6152594112000.

The previous prime is 13300213211287. The next prime is 13300213211317. The reversal of 13300213211312 is 21311231200331.

It is a super-2 number, since 2×13300213211312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13300213211317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84248612 + ... + 84406332.

It is an arithmetic number, because the mean of its divisors is an integer number (347009219304).

Almost surely, 2^{13300213211312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300213211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880368772160).

13300213211312 is an abundant number, since it is smaller than the sum of its proper divisors (14460524333008).

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

13300213211312 is a wasteful number, since it uses less digits than its factorization.

13300213211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164242 (or 164236 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13300213211312 its reverse (21311231200331), we get a palindrome (34611444411643).

The spelling of 13300213211312 in words is "thirteen trillion, three hundred billion, two hundred thirteen million, two hundred eleven thousand, three hundred twelve".