66313061100 has 576 divisors, whose sum is σ = 265213025280. Its totient is φ = 13965004800.

The previous prime is 66313061099. The next prime is 66313061119. The reversal of 66313061100 is 116031366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6558649 + ... + 6568751.

It is an arithmetic number, because the mean of its divisors is an integer number (460439280).

Almost surely, 2^66313061100 is an apocalyptic number.

66313061100 is a gapful number since it is divisible by the number (60) 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 66313061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132606512640).

66313061100 is an abundant number, since it is smaller than the sum of its proper divisors (198899964180).

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

66313061100 is a wasteful number, since it uses less digits than its factorization.

66313061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10154 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 66313061100 its reverse (116031366), we get a palindrome (66429092466).

The spelling of 66313061100 in words is "sixty-six billion, three hundred thirteen million, sixty-one thousand, one hundred".