100122011313313 has 12 divisors (see below), whose sum is σ = 110051754385104. Its totient is φ = 91019772582200.

The previous prime is 100122011313277. The next prime is 100122011313367. The reversal of 100122011313313 is 313313110221001.

It is not a de Polignac number, because 100122011313313 - 2⁴¹ = 97922988057761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122011313013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59354970 + ... + 61018492.

It is an arithmetic number, because the mean of its divisors is an integer number (9170979532092).

Almost surely, 2^{100122011313313} is an apocalyptic number.

It is an amenable number.

100122011313313 is a deficient number, since it is larger than the sum of its proper divisors (9929743071791).

100122011313313 is a wasteful number, since it uses less digits than its factorization.

100122011313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160956 (or 2160945 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100122011313313 its reverse (313313110221001), we get a palindrome (413435121534314).

The spelling of 100122011313313 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, three hundred thirteen thousand, three hundred thirteen".