101433242313 has 48 divisors (see below), whose sum is σ = 160241121040. Its totient is φ = 61455532032.

The previous prime is 101433242293. The next prime is 101433242341. The reversal of 101433242313 is 313242334101.

It is a happy number.

101433242313 is a `hidden beast` number, since 1 + 0 + 14 + 332 + 4 + 2 + 313 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3384097929 + 98049144384 = 58173^2 + 313128^2 .

It is not a de Polignac number, because 101433242313 - 2⁶ = 101433242249 is a prime.

It is a super-2 number, since 2×101433242313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101433242353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167203 + ... + 2213511.

Almost surely, 2^101433242313 is an apocalyptic number.

101433242313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101433242313 is a deficient number, since it is larger than the sum of its proper divisors (58807878727).

101433242313 is a wasteful number, since it uses less digits than its factorization.

101433242313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46618 (or 46615 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101433242313 its reverse (313242334101), we get a palindrome (414675576414).

The spelling of 101433242313 in words is "one hundred one billion, four hundred thirty-three million, two hundred forty-two thousand, three hundred thirteen".