416101013 has 2 divisors, whose sum is σ = 416101014. Its totient is φ = 416101012.

The previous prime is 416101009. The next prime is 416101031. The reversal of 416101013 is 310101614.

Together with next prime (416101031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293711044 + 122389969 = 17138^2 + 11063^2 .

It is a cyclic number.

It is not a de Polignac number, because 416101013 - 2² = 416101009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416100982 and 416101000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416101033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208050506 + 208050507.

It is an arithmetic number, because the mean of its divisors is an integer number (208050507).

Almost surely, 2^416101013 is an apocalyptic number.

It is an amenable number.

416101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

416101013 is an equidigital number, since it uses as much as digits as its factorization.

416101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 416101013 is about 20398.5541889615. The cubic root of 416101013 is about 746.5626482924.

Adding to 416101013 its reverse (310101614), we get a palindrome (726202627).

The spelling of 416101013 in words is "four hundred sixteen million, one hundred one thousand, thirteen".