3401431212213 has 12 divisors (see below), whose sum is σ = 4916073653868. Its totient is φ = 2266284545280.

The previous prime is 3401431212197. The next prime is 3401431212217. The reversal of 3401431212213 is 3122121341043.

3401431212213 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 431 + 2 + 1 + 221 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2773164139524 + 628267072689 = 1665282^2 + 792633^2 .

It is not a de Polignac number, because 3401431212213 - 2⁴ = 3401431212197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401431212217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111339118 + ... + 111369663.

It is an arithmetic number, because the mean of its divisors is an integer number (409672804489).

Almost surely, 2^{3401431212213} is an apocalyptic number.

It is an amenable number.

3401431212213 is a deficient number, since it is larger than the sum of its proper divisors (1514642441655).

3401431212213 is a wasteful number, since it uses less digits than its factorization.

3401431212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222710484 (or 222710481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3401431212213 its reverse (3122121341043), we get a palindrome (6523552553256).

The spelling of 3401431212213 in words is "three trillion, four hundred one billion, four hundred thirty-one million, two hundred twelve thousand, two hundred thirteen".