100100331331 has 32 divisors (see below), whose sum is σ = 135705443328. Its totient is φ = 71301133440.

The previous prime is 100100331313. The next prime is 100100331343. The reversal of 100100331331 is 133133001001.

It is a cyclic number.

It is not a de Polignac number, because 100100331331 - 2⁵ = 100100331299 is a prime.

It is a super-2 number, since 2×100100331331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100100331031) 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, 382336 + ... + 588541.

It is an arithmetic number, because the mean of its divisors is an integer number (4240795104).

Almost surely, 2^100100331331 is an apocalyptic number.

100100331331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100331331 is a deficient number, since it is larger than the sum of its proper divisors (35605111997).

100100331331 is a wasteful number, since it uses less digits than its factorization.

100100331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971011.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100100331331 its reverse (133133001001), we get a palindrome (233233332332).

The spelling of 100100331331 in words is "one hundred billion, one hundred million, three hundred thirty-one thousand, three hundred thirty-one".