413212011101 has 2 divisors, whose sum is σ = 413212011102. Its totient is φ = 413212011100.

The previous prime is 413212011097. The next prime is 413212011127. The reversal of 413212011101 is 101110212314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358573416100 + 54638595001 = 598810^2 + 233749^2 .

It is a cyclic number.

It is not a de Polignac number, because 413212011101 - 2² = 413212011097 is a prime.

It is a super-2 number, since 2×413212011101² (a number of 24 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 413212011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413212011601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206606005550 + 206606005551.

It is an arithmetic number, because the mean of its divisors is an integer number (206606005551).

Almost surely, 2^413212011101 is an apocalyptic number.

It is an amenable number.

413212011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413212011101 is an equidigital number, since it uses as much as digits as its factorization.

413212011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 413212011101 its reverse (101110212314), we get a palindrome (514322223415).

The spelling of 413212011101 in words is "four hundred thirteen billion, two hundred twelve million, eleven thousand, one hundred one".