213142241312 has 96 divisors (see below), whose sum is σ = 563411044224. Its totient is φ = 76654540800.

The previous prime is 213142241303. The next prime is 213142241327.

It is a happy number.

213142241312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294989 + ... + 3359052.

It is an arithmetic number, because the mean of its divisors is an integer number (5868865044).

Almost surely, 2^213142241312 is an apocalyptic number.

213142241312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213142241312 is an abundant number, since it is smaller than the sum of its proper divisors (350268802912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213142241312 is a wasteful number, since it uses less digits than its factorization.

213142241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654082 (or 6654074 counting only the distinct ones).

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

It can be divided in two parts, 213142 and 241312, that added together give a palindrome (454454).

The spelling of 213142241312 in words is "two hundred thirteen billion, one hundred forty-two million, two hundred forty-one thousand, three hundred twelve".