133201410020 has 192 divisors, whose sum is σ = 343169519616. Its totient is φ = 42392125440.

The previous prime is 133201410007. The next prime is 133201410029. The reversal of 133201410020 is 20014102331.

133201410020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (133201410029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59972510 + ... + 59974730.

It is an arithmetic number, because the mean of its divisors is an integer number (1787341248).

Almost surely, 2^133201410020 is an apocalyptic number.

133201410020 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 133201410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171584759808).

133201410020 is an abundant number, since it is smaller than the sum of its proper divisors (209968109596).

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

133201410020 is a wasteful number, since it uses less digits than its factorization.

133201410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133201410020 its reverse (20014102331), we get a palindrome (153215512351).

The spelling of 133201410020 in words is "one hundred thirty-three billion, two hundred one million, four hundred ten thousand, twenty".