100111033131 has 8 divisors (see below), whose sum is σ = 133618849344. Its totient is φ = 66671952840.

The previous prime is 100111033103. The next prime is 100111033159. The reversal of 100111033131 is 131330111001.

It is an interprime number because it is at equal distance from previous prime (100111033103) and next prime (100111033159).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100111033131 - 2⁶ = 100111033067 is a prime.

It is a super-2 number, since 2×100111033131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111033131.

It is not an unprimeable number, because it can be changed into a prime (100111033171) 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 7 ways as a sum of consecutive naturals, for example, 17180581 + ... + 17186406.

It is an arithmetic number, because the mean of its divisors is an integer number (16702356168).

Almost surely, 2^100111033131 is an apocalyptic number.

100111033131 is a deficient number, since it is larger than the sum of its proper divisors (33507816213).

100111033131 is an equidigital number, since it uses as much as digits as its factorization.

100111033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34367961.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100111033131 its reverse (131330111001), we get a palindrome (231441144132).

The spelling of 100111033131 in words is "one hundred billion, one hundred eleven million, thirty-three thousand, one hundred thirty-one".