100414101023313 has 32 divisors (see below), whose sum is σ = 166923245432832. Its totient is φ = 52162824528000.

The previous prime is 100414101023267. The next prime is 100414101023339. The reversal of 100414101023313 is 313320101414001.

It is a happy number.

It is not a de Polignac number, because 100414101023313 - 2¹⁰ = 100414101022289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100414101023393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35649720 + ... + 38363142.

It is an arithmetic number, because the mean of its divisors is an integer number (5216351419776).

Almost surely, 2^{100414101023313} is an apocalyptic number.

It is an amenable number.

100414101023313 is a deficient number, since it is larger than the sum of its proper divisors (66509144409519).

100414101023313 is a wasteful number, since it uses less digits than its factorization.

100414101023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873645.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100414101023313 its reverse (313320101414001), we get a palindrome (413734202437314).

The spelling of 100414101023313 in words is "one hundred trillion, four hundred fourteen billion, one hundred one million, twenty-three thousand, three hundred thirteen".