133213220100 has 216 divisors, whose sum is σ = 430781594880. Its totient is φ = 34406519040.

The previous prime is 133213220087. The next prime is 133213220113. The reversal of 133213220100 is 1022312331.

133213220100 is a `hidden beast` number, since 1 + 332 + 1 + 322 + 0 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133213220087) and next prime (133213220113).

It is a super-2 number, since 2×133213220100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7416931 + ... + 7434869.

Almost surely, 2^133213220100 is an apocalyptic number.

133213220100 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 133213220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215390797440).

133213220100 is an abundant number, since it is smaller than the sum of its proper divisors (297568374780).

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

133213220100 is a wasteful number, since it uses less digits than its factorization.

133213220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18219 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133213220100 its reverse (1022312331), we get a palindrome (134235532431).

The spelling of 133213220100 in words is "one hundred thirty-three billion, two hundred thirteen million, two hundred twenty thousand, one hundred".