133100100020010 has 128 divisors (see below), whose sum is σ = 324842234837760. Its totient is φ = 34896392718336.

The previous prime is 133100100019987. The next prime is 133100100020021. The reversal of 133100100020010 is 10020001001331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894060961 + ... + 894209819.

It is an arithmetic number, because the mean of its divisors is an integer number (2537829959670).

Almost surely, 2^{133100100020010} is an apocalyptic number.

133100100020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133100100020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162421117418880).

133100100020010 is an abundant number, since it is smaller than the sum of its proper divisors (191742134817750).

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

133100100020010 is a wasteful number, since it uses less digits than its factorization.

133100100020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150232.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133100100020010 its reverse (10020001001331), we get a palindrome (143120101021341).

The spelling of 133100100020010 in words is "one hundred thirty-three trillion, one hundred billion, one hundred million, twenty thousand, ten".