133102020010302 has 288 divisors, whose sum is σ = 357397585359360. Its totient is φ = 36365723634240.

The previous prime is 133102020010259. The next prime is 133102020010303. The reversal of 133102020010302 is 203010020201331.

133102020010302 is a `hidden beast` number, since 1 + 3 + 310 + 20 + 20 + 0 + 10 + 302 = 666.

It is a super-2 number, since 2×133102020010302² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102020010303) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8564564652 + ... + 8564580192.

Almost surely, 2^{133102020010302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133102020010302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178698792679680).

133102020010302 is an abundant number, since it is smaller than the sum of its proper divisors (224295565349058).

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

133102020010302 is a wasteful number, since it uses less digits than its factorization.

133102020010302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370 (or 20335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133102020010302 its reverse (203010020201331), we get a palindrome (336112040211633).

The spelling of 133102020010302 in words is "one hundred thirty-three trillion, one hundred two billion, twenty million, ten thousand, three hundred two".