210133001011000 has 128 divisors (see below), whose sum is σ = 503409578443200. Its totient is φ = 82055526604800.

The previous prime is 210133001010973. The next prime is 210133001011007. The reversal of 210133001011000 is 110100331012.

It is a super-2 number, since 2×210133001011000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210133001011007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80981736 + ... + 83536264.

Almost surely, 2^{210133001011000} is an apocalyptic number.

210133001011000 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 210133001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251704789221600).

210133001011000 is an abundant number, since it is smaller than the sum of its proper divisors (293276577432200).

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

210133001011000 is a wasteful number, since it uses less digits than its factorization.

210133001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556506 (or 2556492 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 210133001011000 its reverse (110100331012), we get a palindrome (210243101342012).

The spelling of 210133001011000 in words is "two hundred ten trillion, one hundred thirty-three billion, one million, eleven thousand".