213202033000031 has 16 divisors (see below), whose sum is σ = 223778842850304. Its totient is φ = 202737476651424.

The previous prime is 213202032999997. The next prime is 213202033000043. The reversal of 213202033000031 is 130000330202312.

It is a de Polignac number, because none of the positive numbers 2^k-213202033000031 is a prime.

It is a super-2 number, since 2×213202033000031² (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 = 213202032999967 and 213202033000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202033000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34947911 + ... + 40592616.

It is an arithmetic number, because the mean of its divisors is an integer number (13986177678144).

Almost surely, 2^{213202033000031} is an apocalyptic number.

213202033000031 is a deficient number, since it is larger than the sum of its proper divisors (10576809850273).

213202033000031 is a wasteful number, since it uses less digits than its factorization.

213202033000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75541270.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213202033000031 its reverse (130000330202312), we get a palindrome (343202363202343).

The spelling of 213202033000031 in words is "two hundred thirteen trillion, two hundred two billion, thirty-three million, thirty-one", and thus it is an aban number.