213011030100000 has 1152 divisors, whose sum is σ = 782680080768768. Its totient is φ = 50284800000000.

The previous prime is 213011030099993. The next prime is 213011030100067. The reversal of 213011030100000 is 1030110312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20331294762 + ... + 20331305238.

It is an arithmetic number, because the mean of its divisors is an integer number (679409792334).

Almost surely, 2^{213011030100000} is an apocalyptic number.

213011030100000 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 213011030100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391340040384384).

213011030100000 is an abundant number, since it is smaller than the sum of its proper divisors (569669050668768).

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

213011030100000 is a wasteful number, since it uses less digits than its factorization.

213011030100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 213011030100000 its reverse (1030110312), we get a palindrome (213012060210312).

The spelling of 213011030100000 in words is "two hundred thirteen trillion, eleven billion, thirty million, one hundred thousand".