133100010000 has 250 divisors, whose sum is σ = 481386392982. Its totient is φ = 35493120000.

The previous prime is 133100009983. The next prime is 133100010019. The reversal of 133100010000 is 10001331.

It can be written as a sum of positive squares in 5 ways, for example, as 91816272144 + 41283737856 = 303012^2 + 203184^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a super-2 number, since 2×133100010000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 727840 + ... + 892160.

Almost surely, 2^133100010000 is an apocalyptic number.

133100010000 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 133100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240693196491).

133100010000 is an abundant number, since it is smaller than the sum of its proper divisors (348286382982).

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

133100010000 is an equidigital number, since it uses as much as digits as its factorization.

133100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164361 (or 164331 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 133100010000 its reverse (10001331), we get a palindrome (133110011331).

The spelling of 133100010000 in words is "one hundred thirty-three billion, one hundred million, ten thousand".