213300052313202 has 128 divisors (see below), whose sum is σ = 488840265930240. Its totient is φ = 68897537280000.

The previous prime is 213300052313167. The next prime is 213300052313261. The reversal of 213300052313202 is 202313250003312.

It is a happy number.

213300052313202 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 0 + 0 + 523 + 132 + 0 + 2 = 666.

It is a super-2 number, since 2×213300052313202² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2868711258 + ... + 2868785610.

It is an arithmetic number, because the mean of its divisors is an integer number (3819064577580).

Almost surely, 2^{213300052313202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213300052313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244420132965120).

213300052313202 is an abundant number, since it is smaller than the sum of its proper divisors (275540213617038).

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

213300052313202 is a wasteful number, since it uses less digits than its factorization.

213300052313202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83137 (or 83131 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 213300052313202 in words is "two hundred thirteen trillion, three hundred billion, fifty-two million, three hundred thirteen thousand, two hundred two".