210133300013300 has 36 divisors (see below), whose sum is σ = 455995585625580. Its totient is φ = 84052154181120.

The previous prime is 210133300013293. The next prime is 210133300013347. The reversal of 210133300013300 is 3310003331012.

It can be written as a sum of positive squares in 6 ways, for example, as 4022599832164 + 206110700181136 = 2005642^2 + 14356556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7308965 + ... + 21764364.

It is an arithmetic number, because the mean of its divisors is an integer number (12666544045155).

Almost surely, 2^{210133300013300} is an apocalyptic number.

210133300013300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210133300013300 is an abundant number, since it is smaller than the sum of its proper divisors (245862285612280).

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

210133300013300 is a wasteful number, since it uses less digits than its factorization.

210133300013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29145620 (or 29145613 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 210133300013300 its reverse (3310003331012), we get a palindrome (213443303344312).

The spelling of 210133300013300 in words is "two hundred ten trillion, one hundred thirty-three billion, three hundred million, thirteen thousand, three hundred".