133342120322020 has 96 divisors (see below), whose sum is σ = 282625209266400. Its totient is φ = 52842746609664.

The previous prime is 133342120322017. The next prime is 133342120322023. The reversal of 133342120322020 is 20223021243331.

It is an interprime number because it is at equal distance from previous prime (133342120322017) and next prime (133342120322023).

It can be written as a sum of positive squares in 16 ways, for example, as 75274641801216 + 58067478520804 = 8676096^2 + 7620202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133342120322020.

It is not an unprimeable number, because it can be changed into a prime (133342120322023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2833606332 + ... + 2833653388.

It is an arithmetic number, because the mean of its divisors is an integer number (2944012596525).

Almost surely, 2^{133342120322020} is an apocalyptic number.

133342120322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133342120322020 is an abundant number, since it is smaller than the sum of its proper divisors (149283088944380).

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

133342120322020 is a wasteful number, since it uses less digits than its factorization.

133342120322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50257 (or 50255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133342120322020 its reverse (20223021243331), we get a palindrome (153565141565351).

The spelling of 133342120322020 in words is "one hundred thirty-three trillion, three hundred forty-two billion, one hundred twenty million, three hundred twenty-two thousand, twenty".