213100242010000 has 50 divisors (see below), whose sum is σ = 515936995954622. Its totient is φ = 85240096800000.

The previous prime is 213100242009973. The next prime is 213100242010009. The reversal of 213100242010000 is 10242001312.

It can be written as a sum of positive squares in 5 ways, for example, as 69957298946304 + 143142943063696 = 8364048^2 + 11964236^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (213100242010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10655002101 + ... + 10655022100.

Almost surely, 2^{213100242010000} is an apocalyptic number.

213100242010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100242010000 is an abundant number, since it is smaller than the sum of its proper divisors (302836753944622).

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

213100242010000 is an equidigital number, since it uses as much as digits as its factorization.

213100242010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21310024229 (or 21310024208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 213100242010000 its reverse (10242001312), we get a palindrome (213110484011312).

The spelling of 213100242010000 in words is "two hundred thirteen trillion, one hundred billion, two hundred forty-two million, ten thousand".