213001411014 has 96 divisors (see below), whose sum is σ = 531059880000. Its totient is φ = 60440297472.

The previous prime is 213001411003. The next prime is 213001411069. The reversal of 213001411014 is 410114100312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11792262 + ... + 11810310.

It is an arithmetic number, because the mean of its divisors is an integer number (5531873750).

Almost surely, 2^213001411014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213001411014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265529940000).

213001411014 is an abundant number, since it is smaller than the sum of its proper divisors (318058468986).

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

213001411014 is a wasteful number, since it uses less digits than its factorization.

213001411014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18702 (or 18699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213001411014 its reverse (410114100312), we get a palindrome (623115511326).

The spelling of 213001411014 in words is "two hundred thirteen billion, one million, four hundred eleven thousand, fourteen".