213031010000 has 100 divisors (see below), whose sum is σ = 516253574100. Its totient is φ = 85132416000.

The previous prime is 213031009987. The next prime is 213031010009. The reversal of 213031010000 is 10130312.

213031010000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 149716372624 + 63314637376 = 386932^2 + 251624^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×213031010000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213031010009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11280566 + ... + 11299434.

It is an arithmetic number, because the mean of its divisors is an integer number (5162535741).

Almost surely, 2^213031010000 is an apocalyptic number.

213031010000 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 213031010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258126787050).

213031010000 is an abundant number, since it is smaller than the sum of its proper divisors (303222564100).

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

213031010000 is a wasteful number, since it uses less digits than its factorization.

213031010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026 (or 20005 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 213031010000 its reverse (10130312), we get a palindrome (213041140312).

The spelling of 213031010000 in words is "two hundred thirteen billion, thirty-one million, ten thousand".