210011311133000 has 512 divisors, whose sum is σ = 559819233792000. Its totient is φ = 73155040358400.

The previous prime is 210011311132993. The next prime is 210011311133017. The reversal of 210011311133000 is 331113110012.

It is a super-3 number, since 3×210011311133000³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210011311133000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25250844842 + ... + 25250853158.

It is an arithmetic number, because the mean of its divisors is an integer number (1093396941000).

Almost surely, 2^{210011311133000} is an apocalyptic number.

210011311133000 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 210011311133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279909616896000).

210011311133000 is an abundant number, since it is smaller than the sum of its proper divisors (349807922659000).

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

210011311133000 is a wasteful number, since it uses less digits than its factorization.

210011311133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 210011311133000 its reverse (331113110012), we get a palindrome (210342424243012).

The spelling of 210011311133000 in words is "two hundred ten trillion, eleven billion, three hundred eleven million, one hundred thirty-three thousand".