101213230432113 has 24 divisors (see below), whose sum is σ = 149768093147400. Its totient is φ = 65827357885440.

The previous prime is 101213230432091. The next prime is 101213230432141. The reversal of 101213230432113 is 311234032312101.

101213230432113 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 32 + 304 + 321 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18273085738209 + 82940144693904 = 4274703^2 + 9107148^2 .

It is not a de Polignac number, because 101213230432113 - 2²⁴ = 101213213654897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101213230432813) 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, 5255413 + ... + 15167261.

It is an arithmetic number, because the mean of its divisors is an integer number (6240337214475).

Almost surely, 2^{101213230432113} is an apocalyptic number.

It is an amenable number.

101213230432113 is a deficient number, since it is larger than the sum of its proper divisors (48554862715287).

101213230432113 is a wasteful number, since it uses less digits than its factorization.

101213230432113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939569 (or 9939566 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 101213230432113 its reverse (311234032312101), we get a palindrome (412447262744214).

The spelling of 101213230432113 in words is "one hundred one trillion, two hundred thirteen billion, two hundred thirty million, four hundred thirty-two thousand, one hundred thirteen".