13149467100 has 720 divisors, whose sum is σ = 55051476480. Its totient is φ = 2634508800.

The previous prime is 13149467081. The next prime is 13149467131. The reversal of 13149467100 is 176494131.

13149467100 is a `hidden beast` number, since 1 + 3 + 1 + 494 + 67 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18086937 + ... + 18087663.

It is an arithmetic number, because the mean of its divisors is an integer number (76460384).

Almost surely, 2^13149467100 is an apocalyptic number.

13149467100 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 13149467100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525738240).

13149467100 is an abundant number, since it is smaller than the sum of its proper divisors (41902009380).

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

13149467100 is a wasteful number, since it uses less digits than its factorization.

13149467100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 13149 and 467100, that added together give a square (480249 = 693²).

The spelling of 13149467100 in words is "thirteen billion, one hundred forty-nine million, four hundred sixty-seven thousand, one hundred".