100113132032313 has 32 divisors (see below), whose sum is σ = 140904415027200. Its totient is φ = 63051749804736.

The previous prime is 100113132032293. The next prime is 100113132032323. The reversal of 100113132032313 is 313230231311001.

It is not a de Polignac number, because 100113132032313 - 2¹⁴ = 100113132015929 is a prime.

It is a super-2 number, since 2×100113132032313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100113132032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167812968 + ... + 168408486.

It is an arithmetic number, because the mean of its divisors is an integer number (4403262969600).

Almost surely, 2^{100113132032313} is an apocalyptic number.

It is an amenable number.

100113132032313 is a deficient number, since it is larger than the sum of its proper divisors (40791282994887).

100113132032313 is a wasteful number, since it uses less digits than its factorization.

100113132032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603821.

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

Adding to 100113132032313 its reverse (313230231311001), we get a palindrome (413343363343314).

The spelling of 100113132032313 in words is "one hundred trillion, one hundred thirteen billion, one hundred thirty-two million, thirty-two thousand, three hundred thirteen".