100330304022131 has 16 divisors (see below), whose sum is σ = 105458205096000. Its totient is φ = 95266232844288.

The previous prime is 100330304022119. The next prime is 100330304022149. The reversal of 100330304022131 is 131220403033001.

It is a cyclic number.

It is not a de Polignac number, because 100330304022131 - 2¹⁰ = 100330304021107 is a prime.

It is a super-2 number, since 2×100330304022131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 100330304022097 and 100330304022106.

It is not an unprimeable number, because it can be changed into a prime (100330304022101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264081395 + ... + 264461043.

It is an arithmetic number, because the mean of its divisors is an integer number (6591137818500).

Almost surely, 2^{100330304022131} is an apocalyptic number.

100330304022131 is a deficient number, since it is larger than the sum of its proper divisors (5127901073869).

100330304022131 is a wasteful number, since it uses less digits than its factorization.

100330304022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463678.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100330304022131 its reverse (131220403033001), we get a palindrome (231550707055132).

The spelling of 100330304022131 in words is "one hundred trillion, three hundred thirty billion, three hundred four million, twenty-two thousand, one hundred thirty-one".