100331131131 has 288 divisors, whose sum is σ = 208697389056. Its totient is φ = 44914176000.

The previous prime is 100331131051. The next prime is 100331131211. The reversal of 100331131131 is 131131133001.

100331131131 is a `hidden beast` number, since 10 + 0 + 3 + 311 + 311 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (100331131051) and next prime (100331131211).

It is not a de Polignac number, because 100331131131 - 2⁷ = 100331131003 is a prime.

It is a super-2 number, since 2×100331131131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100331131331) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 131840791 + ... + 131841551.

It is an arithmetic number, because the mean of its divisors is an integer number (724643712).

Almost surely, 2^100331131131 is an apocalyptic number.

100331131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100331131131 is an abundant number, since it is smaller than the sum of its proper divisors (108366257925).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100331131131 is a wasteful number, since it uses less digits than its factorization.

100331131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100331131131 its reverse (131131133001), we get a palindrome (231462264132).

The spelling of 100331131131 in words is "one hundred billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".