413310000213141 has 24 divisors (see below), whose sum is σ = 579264511871136. Its totient is φ = 262103867356320.

The previous prime is 413310000213133. The next prime is 413310000213161. The reversal of 413310000213141 is 141312000013314.

It is a happy number.

It is not a de Polignac number, because 413310000213141 - 2³ = 413310000213133 is a prime.

It is a super-3 number, since 3×413310000213141³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413310000213161) 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, 719145855 + ... + 719720348.

It is an arithmetic number, because the mean of its divisors is an integer number (24136021327964).

Almost surely, 2^{413310000213141} is an apocalyptic number.

It is an amenable number.

413310000213141 is a deficient number, since it is larger than the sum of its proper divisors (165954511657995).

413310000213141 is a wasteful number, since it uses less digits than its factorization.

413310000213141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438866433 (or 1438866410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 413310000213141 its reverse (141312000013314), we get a palindrome (554622000226455).

The spelling of 413310000213141 in words is "four hundred thirteen trillion, three hundred ten billion, two hundred thirteen thousand, one hundred forty-one".