100331010131 has 16 divisors (see below), whose sum is σ = 112599901440. Its totient is φ = 88620186720.

The previous prime is 100331010103. The next prime is 100331010181. The reversal of 100331010131 is 131010133001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100331010131 - 2²⁶ = 100263901267 is a prime.

It is a super-2 number, since 2×100331010131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100331010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775361 + ... + 895458.

It is an arithmetic number, because the mean of its divisors is an integer number (7037493840).

Almost surely, 2^100331010131 is an apocalyptic number.

100331010131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100331010131 is a deficient number, since it is larger than the sum of its proper divisors (12268891309).

100331010131 is a wasteful number, since it uses less digits than its factorization.

100331010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670986.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100331010131 its reverse (131010133001), we get a palindrome (231341143132).

The spelling of 100331010131 in words is "one hundred billion, three hundred thirty-one million, ten thousand, one hundred thirty-one".