213241242142312 has 16 divisors (see below), whose sum is σ = 420870872649600. Its totient is φ = 101009009435760.

The previous prime is 213241242142283. The next prime is 213241242142319.

It is a happy number.

213241242142312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213241242142312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213241242142319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 701451454264 + ... + 701451454567.

It is an arithmetic number, because the mean of its divisors is an integer number (26304429540600).

Almost surely, 2^{213241242142312} is an apocalyptic number.

It is an amenable number.

213241242142312 is a deficient number, since it is larger than the sum of its proper divisors (207629630507288).

213241242142312 is a wasteful number, since it uses less digits than its factorization.

213241242142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402902908856 (or 1402902908852 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 213241242142312 in words is "two hundred thirteen trillion, two hundred forty-one billion, two hundred forty-two million, one hundred forty-two thousand, three hundred twelve".