100122232232313 has 32 divisors (see below), whose sum is σ = 161299197688320. Its totient is φ = 61123906471680.

The previous prime is 100122232232311. The next prime is 100122232232339. The reversal of 100122232232313 is 313232232221001.

100122232232313 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 2 + 2 + 322 + 323 + 13 = 666.

It is not a de Polignac number, because 100122232232313 - 2¹ = 100122232232311 is a prime.

It is a super-2 number, since 2×100122232232313² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100122232232311) 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, 2947702273 + ... + 2947736238.

It is an arithmetic number, because the mean of its divisors is an integer number (5040599927760).

Almost surely, 2^{100122232232313} is an apocalyptic number.

It is an amenable number.

100122232232313 is a deficient number, since it is larger than the sum of its proper divisors (61176965456007).

100122232232313 is a wasteful number, since it uses less digits than its factorization.

100122232232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895438574 (or 5895438568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100122232232313 its reverse (313232232221001), we get a palindrome (413354464453314).

The spelling of 100122232232313 in words is "one hundred trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred thirteen".