210131133111100 has 144 divisors (see below), whose sum is σ = 470270120785920. Its totient is φ = 81468438105600.

The previous prime is 210131133111019. The next prime is 210131133111131. The reversal of 210131133111100 is 1111331131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129885769 + ... + 131493631.

It is an arithmetic number, because the mean of its divisors is an integer number (3265764727680).

Almost surely, 2^{210131133111100} is an apocalyptic number.

210131133111100 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 210131133111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235135060392960).

210131133111100 is an abundant number, since it is smaller than the sum of its proper divisors (260138987674820).

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

210131133111100 is a wasteful number, since it uses less digits than its factorization.

210131133111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608260 (or 1608253 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 210131133111100 its reverse (1111331131012), we get a palindrome (211242464242112).

The spelling of 210131133111100 in words is "two hundred ten trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred eleven thousand, one hundred".