31200422400213 has 8 divisors (see below), whose sum is σ = 45382432582176. Its totient is φ = 18909346909200.

The previous prime is 31200422400179. The next prime is 31200422400233.

It is a happy number.

31200422400213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 31200422400213 - 2¹⁴ = 31200422383829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200422400233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472733672698 + ... + 472733672763.

It is an arithmetic number, because the mean of its divisors is an integer number (5672804072772).

Almost surely, 2^{31200422400213} is an apocalyptic number.

31200422400213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31200422400213 is a deficient number, since it is larger than the sum of its proper divisors (14182010181963).

31200422400213 is a wasteful number, since it uses less digits than its factorization.

31200422400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945467345475.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 3120042 and 2400213, that added together give a palindrome (5520255).

The spelling of 31200422400213 in words is "thirty-one trillion, two hundred billion, four hundred twenty-two million, four hundred thousand, two hundred thirteen".