13130221311312 has 80 divisors (see below), whose sum is σ = 39666936629760. Its totient is φ = 3664247803776.

The previous prime is 13130221311107. The next prime is 13130221311341. The reversal of 13130221311312 is 21311312203131.

13130221311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13130221311312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454381362 + ... + 454410257.

It is an arithmetic number, because the mean of its divisors is an integer number (495836707872).

Almost surely, 2^{13130221311312} is an apocalyptic number.

13130221311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130221311312 is an abundant number, since it is smaller than the sum of its proper divisors (26536715318448).

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

13130221311312 is a wasteful number, since it uses less digits than its factorization.

13130221311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908791680 (or 908791674 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13130221311312 its reverse (21311312203131), we get a palindrome (34441533514443).

The spelling of 13130221311312 in words is "thirteen trillion, one hundred thirty billion, two hundred twenty-one million, three hundred eleven thousand, three hundred twelve".