133242010020 has 96 divisors (see below), whose sum is σ = 473749382400. Its totient is φ = 30455315712.

The previous prime is 133242010019. The next prime is 133242010021. The reversal of 133242010020 is 20010242331.

It is an interprime number because it is at equal distance from previous prime (133242010019) and next prime (133242010021).

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

It is a junction number, because it is equal to n+sod(n) for n = 133242009975 and 133242010002.

It is not an unprimeable number, because it can be changed into a prime (133242010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17620825 + ... + 17628384.

It is an arithmetic number, because the mean of its divisors is an integer number (4934889400).

Almost surely, 2^133242010020 is an apocalyptic number.

133242010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133242010020 is an abundant number, since it is smaller than the sum of its proper divisors (340507372380).

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

133242010020 is a wasteful number, since it uses less digits than its factorization.

133242010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35249234 (or 35249226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 133242010020 its reverse (20010242331), we get a palindrome (153252252351).

The spelling of 133242010020 in words is "one hundred thirty-three billion, two hundred forty-two million, ten thousand, twenty".