13032311312300 has 144 divisors (see below), whose sum is σ = 34072840032000. Its totient is φ = 4226625204480.

The previous prime is 13032311312291. The next prime is 13032311312329. The reversal of 13032311312300 is 321311323031.

It is a super-2 number, since 2×13032311312300² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8021246 + ... + 9508154.

Almost surely, 2^{13032311312300} is an apocalyptic number.

13032311312300 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 13032311312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17036420016000).

13032311312300 is an abundant number, since it is smaller than the sum of its proper divisors (21040528719700).

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

13032311312300 is a wasteful number, since it uses less digits than its factorization.

13032311312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487608 (or 1487601 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13032311312300 its reverse (321311323031), we get a palindrome (13353622635331).

The spelling of 13032311312300 in words is "thirteen trillion, thirty-two billion, three hundred eleven million, three hundred twelve thousand, three hundred".