13113301110300 has 216 divisors, whose sum is σ = 42736567351296. Its totient is φ = 3487747584960.

The previous prime is 13113301110253. The next prime is 13113301110307. The reversal of 13113301110300 is 301110331131.

13113301110300 is a `hidden beast` number, since 1 + 3 + 11 + 330 + 11 + 10 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113301110307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8602407 + ... + 10011393.

Almost surely, 2^{13113301110300} is an apocalyptic number.

13113301110300 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 13113301110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368283675648).

13113301110300 is an abundant number, since it is smaller than the sum of its proper divisors (29623266240996).

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

13113301110300 is a wasteful number, since it uses less digits than its factorization.

13113301110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409399 (or 1409380 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13113301110300 its reverse (301110331131), we get a palindrome (13414411441431).

The spelling of 13113301110300 in words is "thirteen trillion, one hundred thirteen billion, three hundred one million, one hundred ten thousand, three hundred".