100313213132301 has 32 divisors (see below), whose sum is σ = 146350511021568. Its totient is φ = 60742800296640.

The previous prime is 100313213132219. The next prime is 100313213132339. The reversal of 100313213132301 is 103231312313001.

It is not a de Polignac number, because 100313213132301 - 2¹³ = 100313213124109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313213132351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18793215 + ... + 23533196.

It is an arithmetic number, because the mean of its divisors is an integer number (4573453469424).

Almost surely, 2^{100313213132301} is an apocalyptic number.

It is an amenable number.

100313213132301 is a deficient number, since it is larger than the sum of its proper divisors (46037297889267).

100313213132301 is a wasteful number, since it uses less digits than its factorization.

100313213132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42327401.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 100313213132301 its reverse (103231312313001), we get a palindrome (203544525445302).

The spelling of 100313213132301 in words is "one hundred trillion, three hundred thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred one".