133000100202020 has 12 divisors (see below), whose sum is σ = 279300210424284. Its totient is φ = 53200040080800.

The previous prime is 133000100201923. The next prime is 133000100202041. The reversal of 133000100202020 is 20202001000331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90561754763236 + 42438345438784 = 9516394^2 + 6514472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133000100201986 and 133000100202004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3325002505031 + ... + 3325002505070.

It is an arithmetic number, because the mean of its divisors is an integer number (23275017535357).

Almost surely, 2^{133000100202020} is an apocalyptic number.

133000100202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133000100202020 is an abundant number, since it is smaller than the sum of its proper divisors (146300110222264).

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

133000100202020 is a wasteful number, since it uses less digits than its factorization.

133000100202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650005010110 (or 6650005010108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 133000100202020 its reverse (20202001000331), we get a palindrome (153202101202351).

The spelling of 133000100202020 in words is "one hundred thirty-three trillion, one hundred million, two hundred two thousand, twenty".