101222003313 has 12 divisors (see below), whose sum is σ = 154810122948. Its totient is φ = 63511845120.

The previous prime is 101222003297. The next prime is 101222003327. The reversal of 101222003313 is 313300222101.

101222003313 is a `hidden beast` number, since 10 + 122 + 200 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67676981904 + 33545021409 = 260148^2 + 183153^2 .

It is not a de Polignac number, because 101222003313 - 2⁴ = 101222003297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222003713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330790708 + ... + 330791013.

It is an arithmetic number, because the mean of its divisors is an integer number (12900843579).

Almost surely, 2^101222003313 is an apocalyptic number.

It is an amenable number.

101222003313 is a deficient number, since it is larger than the sum of its proper divisors (53588119635).

101222003313 is a wasteful number, since it uses less digits than its factorization.

101222003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661581744 (or 661581741 counting only the distinct ones).

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

Adding to 101222003313 its reverse (313300222101), we get a palindrome (414522225414).

The spelling of 101222003313 in words is "one hundred one billion, two hundred twenty-two million, three thousand, three hundred thirteen".