413142410213031 has 32 divisors (see below), whose sum is σ = 575836495718400. Its totient is φ = 263167635456000.

The previous prime is 413142410212991. The next prime is 413142410213053. The reversal of 413142410213031 is 130312014241314.

It is not a de Polignac number, because 413142410213031 - 2¹⁵ = 413142410180263 is a prime.

It is a super-2 number, since 2×413142410213031² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413142410213031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413142410213231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4357306 + ... + 29073543.

It is an arithmetic number, because the mean of its divisors is an integer number (17994890491200).

Almost surely, 2^{413142410213031} is an apocalyptic number.

413142410213031 is a deficient number, since it is larger than the sum of its proper divisors (162694085505369).

413142410213031 is a wasteful number, since it uses less digits than its factorization.

413142410213031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33432567.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 413142410213031 its reverse (130312014241314), we get a palindrome (543454424454345).

The spelling of 413142410213031 in words is "four hundred thirteen trillion, one hundred forty-two billion, four hundred ten million, two hundred thirteen thousand, thirty-one".