213013322000 has 40 divisors (see below), whose sum is σ = 515066217432. Its totient is φ = 85205328000.

The previous prime is 213013321979. The next prime is 213013322003. The reversal of 213013322000 is 223310312.

It can be written as a sum of positive squares in 4 ways, for example, as 2501200144 + 210512121856 = 50012^2 + 458816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 213013322000.

It is not an unprimeable number, because it can be changed into a prime (213013322003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53251331 + ... + 53255330.

Almost surely, 2^213013322000 is an apocalyptic number.

213013322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013322000 is an abundant number, since it is smaller than the sum of its proper divisors (302052895432).

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

213013322000 is a wasteful number, since it uses less digits than its factorization.

213013322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106506684 (or 106506668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213013322000 its reverse (223310312), we get a palindrome (213236632312).

The spelling of 213013322000 in words is "two hundred thirteen billion, thirteen million, three hundred twenty-two thousand".