101413322213 has 6 divisors (see below), whose sum is σ = 117970599366. Its totient is φ = 86925704712.

The previous prime is 101413322207. The next prime is 101413322233. The reversal of 101413322213 is 312223314101.

It can be written as a sum of positive squares in only one way, i.e., 72588752929 + 28824569284 = 269423^2 + 169778^2 .

It is not a de Polignac number, because 101413322213 - 2¹⁸ = 101413060069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413322233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034829770 + ... + 1034829867.

It is an arithmetic number, because the mean of its divisors is an integer number (19661766561).

Almost surely, 2^101413322213 is an apocalyptic number.

It is an amenable number.

101413322213 is a deficient number, since it is larger than the sum of its proper divisors (16557277153).

101413322213 is an equidigital number, since it uses as much as digits as its factorization.

101413322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069659651 (or 2069659644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101413322213 its reverse (312223314101), we get a palindrome (413636636314).

The spelling of 101413322213 in words is "one hundred one billion, four hundred thirteen million, three hundred twenty-two thousand, two hundred thirteen".