213303010200031 has 16 divisors (see below), whose sum is σ = 215747064324000. Its totient is φ = 210867847077888.

The previous prime is 213303010200019. The next prime is 213303010200061. The reversal of 213303010200031 is 130002010303312.

It is a cyclic number.

It is not a de Polignac number, because 213303010200031 - 2¹⁵ = 213303010167263 is a prime.

It is a super-2 number, since 2×213303010200031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213303010199981 and 213303010200008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213303010200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783007640 + ... + 1783127266.

It is an arithmetic number, because the mean of its divisors is an integer number (13484191520250).

Almost surely, 2^{213303010200031} is an apocalyptic number.

213303010200031 is a deficient number, since it is larger than the sum of its proper divisors (2444054123969).

213303010200031 is a wasteful number, since it uses less digits than its factorization.

213303010200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156618.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213303010200031 its reverse (130002010303312), we get a palindrome (343305020503343).

It can be divided in two parts, 2133030 and 10200031, that added together give a triangular number (12333061 = T₄₉₆₆).

The spelling of 213303010200031 in words is "two hundred thirteen trillion, three hundred three billion, ten million, two hundred thousand, thirty-one".