100801131 has 16 divisors (see below), whose sum is σ = 136335648. Its totient is φ = 66240000.

The previous prime is 100801121. The next prime is 100801147. The reversal of 100801131 is 131108001.

It is not a de Polignac number, because 100801131 - 2⁷ = 100801003 is a prime.

It is a super-2 number, since 2×100801131² = 20321736021758322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100801131.

It is not an unprimeable number, because it can be changed into a prime (100801121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83331 + ... + 84531.

It is an arithmetic number, because the mean of its divisors is an integer number (8520978).

Almost surely, 2^100801131 is an apocalyptic number.

100801131 is a deficient number, since it is larger than the sum of its proper divisors (35534517).

100801131 is a wasteful number, since it uses less digits than its factorization.

100801131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582.

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 100801131 is about 10039.9766433991. The cubic root of 100801131 is about 465.3950948917.

Adding to 100801131 its reverse (131108001), we get a palindrome (231909132).

It can be divided in two parts, 10080 and 1131, that added together give a palindrome (11211).

The spelling of 100801131 in words is "one hundred million, eight hundred one thousand, one hundred thirty-one".