210013300030032 has 360 divisors, whose sum is σ = 653327253468864. Its totient is φ = 62843608802304.

The previous prime is 210013300030031. The next prime is 210013300030069. The reversal of 210013300030032 is 230030003310012.

210013300030032 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 1 + 330 + 0 + 0 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210013300029987 and 210013300030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210013300030031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127111828 + ... + 128753420.

Almost surely, 2^{210013300030032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210013300030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326663626734432).

210013300030032 is an abundant number, since it is smaller than the sum of its proper divisors (443313953438832).

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

210013300030032 is a wasteful number, since it uses less digits than its factorization.

210013300030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641775 (or 1641747 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 210013300030032 its reverse (230030003310012), we get a palindrome (440043303340044).

The spelling of 210013300030032 in words is "two hundred ten trillion, thirteen billion, three hundred million, thirty thousand, thirty-two".