100142123313 has 8 divisors (see below), whose sum is σ = 133524326176. Its totient is φ = 66760668000.

The previous prime is 100142123309. The next prime is 100142123351. The reversal of 100142123313 is 313321241001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100142123313 - 2² = 100142123309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100142123313.

It is not an unprimeable number, because it can be changed into a prime (100142123383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329613 + ... + 555813.

It is an arithmetic number, because the mean of its divisors is an integer number (16690540772).

Almost surely, 2^100142123313 is an apocalyptic number.

It is an amenable number.

100142123313 is a deficient number, since it is larger than the sum of its proper divisors (33382202863).

100142123313 is a wasteful number, since it uses less digits than its factorization.

100142123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373775.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100142123313 its reverse (313321241001), we get a palindrome (413463364314).

The spelling of 100142123313 in words is "one hundred billion, one hundred forty-two million, one hundred twenty-three thousand, three hundred thirteen".