100022133112313 has 4 divisors (see below), whose sum is σ = 102348229231248. Its totient is φ = 97696036993380.

The previous prime is 100022133112289. The next prime is 100022133112339. The reversal of 100022133112313 is 313211331220001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100022133112313 - 2¹⁶ = 100022133046777 is a prime.

It is a super-2 number, since 2×100022133112313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022133115313) 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 3 ways as a sum of consecutive naturals, for example, 1163048059403 + ... + 1163048059488.

It is an arithmetic number, because the mean of its divisors is an integer number (25587057307812).

Almost surely, 2^{100022133112313} is an apocalyptic number.

It is an amenable number.

100022133112313 is a deficient number, since it is larger than the sum of its proper divisors (2326096118935).

100022133112313 is an equidigital number, since it uses as much as digits as its factorization.

100022133112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326096118934.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100022133112313 its reverse (313211331220001), we get a palindrome (413233464332314).

The spelling of 100022133112313 in words is "one hundred trillion, twenty-two billion, one hundred thirty-three million, one hundred twelve thousand, three hundred thirteen".