133110210100 has 54 divisors (see below), whose sum is σ = 336008214150. Its totient is φ = 45637784640.

The previous prime is 133110210073. The next prime is 133110210109. The reversal of 133110210100 is 1012011331.

It can be written as a sum of positive squares in 3 ways, for example, as 10109900304 + 123000309796 = 100548^2 + 350714^2 .

It is a super-2 number, since 2×133110210100² (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 (133110210109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13577775 + ... + 13587574.

Almost surely, 2^133110210100 is an apocalyptic number.

133110210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133110210100 is an abundant number, since it is smaller than the sum of its proper divisors (202898004050).

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

133110210100 is a wasteful number, since it uses less digits than its factorization.

133110210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27165377 (or 27165363 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 133110210100 its reverse (1012011331), we get a palindrome (134122221431).

The spelling of 133110210100 in words is "one hundred thirty-three billion, one hundred ten million, two hundred ten thousand, one hundred".