100110001131 has 12 divisors (see below), whose sum is σ = 165260954352. Its totient is φ = 57205714896.

The previous prime is 100110001129. The next prime is 100110001139. The reversal of 100110001131 is 131100011001.

It is not a de Polignac number, because 100110001131 - 2¹ = 100110001129 is a prime.

It is a super-2 number, since 2×100110001131² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100110001139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794523756 + ... + 794523881.

It is an arithmetic number, because the mean of its divisors is an integer number (13771746196).

Almost surely, 2^100110001131 is an apocalyptic number.

100110001131 is a deficient number, since it is larger than the sum of its proper divisors (65150953221).

100110001131 is a wasteful number, since it uses less digits than its factorization.

100110001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589047650 (or 1589047647 counting only the distinct ones).

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

Adding to 100110001131 its reverse (131100011001), we get a palindrome (231210012132).

The spelling of 100110001131 in words is "one hundred billion, one hundred ten million, one thousand, one hundred thirty-one".