3412042131213 has 24 divisors (see below), whose sum is σ = 4932304287768. Its totient is φ = 2272941820032.

The previous prime is 3412042131187. The next prime is 3412042131221. The reversal of 3412042131213 is 3121312402143.

3412042131213 is a `hidden beast` number, since 3 + 4 + 1 + 20 + 421 + 3 + 1 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2626723594089 + 785318537124 = 1620717^2 + 886182^2 .

It is not a de Polignac number, because 3412042131213 - 2⁶ = 3412042131149 is a prime.

It is a super-2 number, since 2×3412042131213² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412042131413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128273431 + ... + 128300027.

It is an arithmetic number, because the mean of its divisors is an integer number (205512678657).

Almost surely, 2^{3412042131213} is an apocalyptic number.

It is an amenable number.

3412042131213 is a deficient number, since it is larger than the sum of its proper divisors (1520262156555).

3412042131213 is a wasteful number, since it uses less digits than its factorization.

3412042131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37053 (or 37050 counting only the distinct ones).

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

Adding to 3412042131213 its reverse (3121312402143), we get a palindrome (6533354533356).

The spelling of 3412042131213 in words is "three trillion, four hundred twelve billion, forty-two million, one hundred thirty-one thousand, two hundred thirteen".