133100001100 has 72 divisors (see below), whose sum is σ = 315252041328. Its totient is φ = 48374188800.

The previous prime is 133100001079. The next prime is 133100001121. The reversal of 133100001100 is 1100001331.

It is an interprime number because it is at equal distance from previous prime (133100001079) and next prime (133100001121).

It is a super-2 number, since 2×133100001100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2095002 + ... + 2157598.

It is an arithmetic number, because the mean of its divisors is an integer number (4378500574).

Almost surely, 2^133100001100 is an apocalyptic number.

133100001100 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 133100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157626020664).

133100001100 is an abundant number, since it is smaller than the sum of its proper divisors (182152040228).

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

133100001100 is a wasteful number, since it uses less digits than its factorization.

133100001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64555 (or 64548 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 133100001100 its reverse (1100001331), we get a palindrome (134200002431).

It can be divided in two parts, 13310000 and 1100, that multiplied together give a square (14641000000 = 121000²).

The spelling of 133100001100 in words is "one hundred thirty-three billion, one hundred million, one thousand, one hundred".