210011011131000 has 128 divisors (see below), whose sum is σ = 655266748181760. Its totient is φ = 56000167632000.

The previous prime is 210011011130953. The next prime is 210011011131013. The reversal of 210011011131000 is 131110110012.

It is a super-2 number, since 2×210011011131000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 59320755 + ... + 62761245.

It is an arithmetic number, because the mean of its divisors is an integer number (5119271470170).

Almost surely, 2^{210011011131000} is an apocalyptic number.

210011011131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011011131000 is an abundant number, since it is smaller than the sum of its proper divisors (445255737050760).

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

210011011131000 is a wasteful number, since it uses less digits than its factorization.

210011011131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460862 (or 3460848 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 210011011131000 its reverse (131110110012), we get a palindrome (210142121241012).

The spelling of 210011011131000 in words is "two hundred ten trillion, eleven billion, eleven million, one hundred thirty-one thousand".