210133332130320 has 240 divisors, whose sum is σ = 751002357259440. Its totient is φ = 52471633084416.

The previous prime is 210133332130297. The next prime is 210133332130321. The reversal of 210133332130320 is 23031233331012.

210133332130320 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 3 + 332 + 1 + 3 + 0 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25408374211584 + 184724957918736 = 5040672^2 + 13591356^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (210133332130321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41161705 + ... + 45984264.

It is an arithmetic number, because the mean of its divisors is an integer number (3129176488581).

Almost surely, 2^{210133332130320} is an apocalyptic number.

210133332130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210133332130320 is an abundant number, since it is smaller than the sum of its proper divisors (540869025129120).

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

210133332130320 is a wasteful number, since it uses less digits than its factorization.

210133332130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87146202 (or 87146193 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 210133332130320 its reverse (23031233331012), we get a palindrome (233164565461332).

The spelling of 210133332130320 in words is "two hundred ten trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred thirty thousand, three hundred twenty".