213216101612312 has 32 divisors (see below), whose sum is σ = 409627979988480. Its totient is φ = 103988647260960.

The previous prime is 213216101612197. The next prime is 213216101612357.

213216101612312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213216101612312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 416846864 + ... + 417358047.

It is an arithmetic number, because the mean of its divisors is an integer number (12800874374640).

Almost surely, 2^{213216101612312} is an apocalyptic number.

It is an amenable number.

213216101612312 is a deficient number, since it is larger than the sum of its proper divisors (196411878376168).

213216101612312 is a wasteful number, since it uses less digits than its factorization.

213216101612312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834205703 (or 834205699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

It can be divided in two parts, 21321610 and 1612312, that added together give a palindrome (22933922).

The spelling of 213216101612312 in words is "two hundred thirteen trillion, two hundred sixteen billion, one hundred one million, six hundred twelve thousand, three hundred twelve".