100011131010 has 144 divisors (see below), whose sum is σ = 312913481400. Its totient is φ = 22071393792.

The previous prime is 100011130991. The next prime is 100011131057. The reversal of 100011131010 is 10131110001.

It can be written as a sum of positive squares in 4 ways, for example, as 95906037969 + 4105093041 = 309687^2 + 64071^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011130983 and 100011131001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263115 + ... + 518894.

Almost surely, 2^100011131010 is an apocalyptic number.

100011131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011131010 is an abundant number, since it is smaller than the sum of its proper divisors (212902350390).

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

100011131010 is a wasteful number, since it uses less digits than its factorization.

100011131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782065 (or 782055 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100011131010 its reverse (10131110001), we get a palindrome (110142241011).

The spelling of 100011131010 in words is "one hundred billion, eleven million, one hundred thirty-one thousand, ten".