210311113012 has 480 divisors, whose sum is σ = 549497446400. Its totient is φ = 68309049600.

The previous prime is 210311112941. The next prime is 210311113093.

It is a happy number.

210311113012 is nontrivially palindromic in base 10.

210311113012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3138971803 + ... + 3138971869.

Almost surely, 2^210311113012 is an apocalyptic number.

210311113012 is a gapful number since it is divisible by the number (22) 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 210311113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274748723200).

210311113012 is an abundant number, since it is smaller than the sum of its proper divisors (339186333388).

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

210311113012 is a wasteful number, since it uses less digits than its factorization.

210311113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 210311 and 113012, that added together give a palindrome (323323).

The spelling of 210311113012 in words is "two hundred ten billion, three hundred eleven million, one hundred thirteen thousand, twelve".