213432404234312 has 8 divisors (see below), whose sum is σ = 400185757939350. Its totient is φ = 106716202117152.

The previous prime is 213432404234303. The next prime is 213432404234321.

213432404234312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (213432404234303) and next prime (213432404234321).

It can be written as a sum of positive squares in only one way, i.e., 208334409234436 + 5097994999876 = 14433794^2 + 2257874^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×213432404234312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13339525264637 + ... + 13339525264652.

Almost surely, 2^{213432404234312} is an apocalyptic number.

It is an amenable number.

213432404234312 is a deficient number, since it is larger than the sum of its proper divisors (186753353705038).

213432404234312 is a wasteful number, since it uses less digits than its factorization.

213432404234312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26679050529295 (or 26679050529291 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 21343240 and 4234312, that added together give a palindrome (25577552).

The spelling of 213432404234312 in words is "two hundred thirteen trillion, four hundred thirty-two billion, four hundred four million, two hundred thirty-four thousand, three hundred twelve".