210033131000 has 256 divisors, whose sum is σ = 617842667520. Its totient is φ = 65461968000.

The previous prime is 210033130997. The next prime is 210033131027. The reversal of 210033131000 is 131330012.

210033131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210033131000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9305729 + ... + 9328271.

It is an arithmetic number, because the mean of its divisors is an integer number (2413447920).

Almost surely, 2^210033131000 is an apocalyptic number.

210033131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210033131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308921333760).

210033131000 is an abundant number, since it is smaller than the sum of its proper divisors (407809536520).

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

210033131000 is a wasteful number, since it uses less digits than its factorization.

210033131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22604 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 210033131000 its reverse (131330012), we get a palindrome (210164461012).

The spelling of 210033131000 in words is "two hundred ten billion, thirty-three million, one hundred thirty-one thousand".