133210112033100 has 144 divisors (see below), whose sum is σ = 386433276687360. Its totient is φ = 35429446272000.

The previous prime is 133210112033099. The next prime is 133210112033101. The reversal of 133210112033100 is 1330211012331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133210112033099) and next prime (133210112033101).

It is a super-2 number, since 2×133210112033100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133210112033101) 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, 967022829 + ... + 967160571.

It is an arithmetic number, because the mean of its divisors is an integer number (2683564421440).

Almost surely, 2^{133210112033100} is an apocalyptic number.

133210112033100 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 133210112033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193216638343680).

133210112033100 is an abundant number, since it is smaller than the sum of its proper divisors (253223164654260).

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

133210112033100 is a wasteful number, since it uses less digits than its factorization.

133210112033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146200 (or 146193 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133210112033100 its reverse (1330211012331), we get a palindrome (134540323045431).

It can be divided in two parts, 13321011 and 2033100, that added together give a triangular number (15354111 = T₅₅₄₁).

The spelling of 133210112033100 in words is "one hundred thirty-three trillion, two hundred ten billion, one hundred twelve million, thirty-three thousand, one hundred".