210033130133120 has 96 divisors (see below), whose sum is σ = 584087668419780. Its totient is φ = 72011358892032.

The previous prime is 210033130133089. The next prime is 210033130133131. The reversal of 210033130133120 is 21331031330012.

It can be written as a sum of positive squares in 2 ways, for example, as 191539621166656 + 18493508966464 = 13839784^2 + 4300408^2 .

It is a super-2 number, since 2×210033130133120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3348711149 + ... + 3348773868.

Almost surely, 2^{210033130133120} is an apocalyptic number.

210033130133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210033130133120 is an abundant number, since it is smaller than the sum of its proper divisors (374054538286660).

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

210033130133120 is an equidigital number, since it uses as much as digits as its factorization.

210033130133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697485050 (or 6697485031 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 210033130133120 its reverse (21331031330012), we get a palindrome (231364161463132).

The spelling of 210033130133120 in words is "two hundred ten trillion, thirty-three billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty".