100311331222341 has 12 divisors (see below), whose sum is σ = 144894325462380. Its totient is φ = 66874137570240.

The previous prime is 100311331222337. The next prime is 100311331222387. The reversal of 100311331222341 is 143222133113001.

100311331222341 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 1 + 3 + 312 + 2 + 2 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77349456881316 + 22961874341025 = 8794854^2 + 4791855^2 .

It is not a de Polignac number, because 100311331222341 - 2² = 100311331222337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311331242341) 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, 1196665 + ... + 14214593.

It is an arithmetic number, because the mean of its divisors is an integer number (12074527121865).

Almost surely, 2^{100311331222341} is an apocalyptic number.

It is an amenable number.

100311331222341 is a deficient number, since it is larger than the sum of its proper divisors (44582994240039).

100311331222341 is a wasteful number, since it uses less digits than its factorization.

100311331222341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874116 (or 13874113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 100311331222341 its reverse (143222133113001), we get a palindrome (243533464335342).

The spelling of 100311331222341 in words is "one hundred trillion, three hundred eleven billion, three hundred thirty-one million, two hundred twenty-two thousand, three hundred forty-one".