101003003022213 has 24 divisors (see below), whose sum is σ = 146152080634560. Its totient is φ = 67215969763200.

The previous prime is 101003003022209. The next prime is 101003003022221. The reversal of 101003003022213 is 312220300300101.

101003003022213 is a `hidden beast` number, since 1 + 0 + 100 + 300 + 30 + 22 + 213 = 666.

It is not a de Polignac number, because 101003003022213 - 2² = 101003003022209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003003022013) 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, 7094698 + ... + 15885236.

It is an arithmetic number, because the mean of its divisors is an integer number (6089670026440).

Almost surely, 2^{101003003022213} is an apocalyptic number.

It is an amenable number.

101003003022213 is a deficient number, since it is larger than the sum of its proper divisors (45149077612347).

101003003022213 is a wasteful number, since it uses less digits than its factorization.

101003003022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792809 (or 8792806 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101003003022213 its reverse (312220300300101), we get a palindrome (413223303322314).

The spelling of 101003003022213 in words is "one hundred one trillion, three billion, three million, twenty-two thousand, two hundred thirteen".