100220131001331 has 32 divisors (see below), whose sum is σ = 162097586553600. Its totient is φ = 60692351711040.

The previous prime is 100220131001321. The next prime is 100220131001351. The reversal of 100220131001331 is 133100131022001.

100220131001331 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 20 + 1 + 310 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 100220131001331 - 2¹⁹ = 100220130477043 is a prime.

It is a super-2 number, since 2×100220131001331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100220131001321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130509921 + ... + 131275586.

It is an arithmetic number, because the mean of its divisors is an integer number (5065549579800).

Almost surely, 2^{100220131001331} is an apocalyptic number.

100220131001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100220131001331 is a deficient number, since it is larger than the sum of its proper divisors (61877455552269).

100220131001331 is a wasteful number, since it uses less digits than its factorization.

100220131001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261786816 (or 261786810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100220131001331 its reverse (133100131022001), we get a palindrome (233320262023332).

The spelling of 100220131001331 in words is "one hundred trillion, two hundred twenty billion, one hundred thirty-one million, one thousand, three hundred thirty-one".