213120414431 has 8 divisors (see below), whose sum is σ = 214993230480. Its totient is φ = 211252195648.

The previous prime is 213120414391. The next prime is 213120414457. The reversal of 213120414431 is 134414021312.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213120414431 is a prime.

It is a super-2 number, since 2×213120414431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213120414431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120411431) 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, 1056161 + ... + 1241658.

It is an arithmetic number, because the mean of its divisors is an integer number (26874153810).

Almost surely, 2^213120414431 is an apocalyptic number.

213120414431 is a deficient number, since it is larger than the sum of its proper divisors (1872816049).

213120414431 is a wasteful number, since it uses less digits than its factorization.

213120414431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298633.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 213120414431 its reverse (134414021312), we get a palindrome (347534435743).

The spelling of 213120414431 in words is "two hundred thirteen billion, one hundred twenty million, four hundred fourteen thousand, four hundred thirty-one".