104133100000 has 288 divisors, whose sum is σ = 267177712032. Its totient is φ = 39916800000.

The previous prime is 104133099997. The next prime is 104133100003. The reversal of 104133100000 is 1331401.

It is an interprime number because it is at equal distance from previous prime (104133099997) and next prime (104133100003).

It is a super-2 number, since 2×104133100000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262299802 + ... + 262300198.

It is an arithmetic number, because the mean of its divisors is an integer number (927700389).

Almost surely, 2^104133100000 is an apocalyptic number.

104133100000 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 104133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133588856016).

104133100000 is an abundant number, since it is smaller than the sum of its proper divisors (163044612032).

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

104133100000 is an frugal number, since it uses more digits than its factorization.

104133100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 104133100000 its reverse (1331401), we get a palindrome (104134431401).

The spelling of 104133100000 in words is "one hundred four billion, one hundred thirty-three million, one hundred thousand".