100131311 has 8 divisors (see below), whose sum is σ = 120458880. Its totient is φ = 81309528.

The previous prime is 100131281. The next prime is 100131313. The reversal of 100131311 is 113131001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100131311 - 2⁶ = 100131247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100131292 and 100131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376301 + ... + 376566.

It is an arithmetic number, because the mean of its divisors is an integer number (15057360).

Almost surely, 2^100131311 is an apocalyptic number.

100131311 is a deficient number, since it is larger than the sum of its proper divisors (20327569).

100131311 is an equidigital number, since it uses as much as digits as its factorization.

100131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752893.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100131311 is about 10006.5633960916. The cubic root of 100131311 is about 464.3619583910.

Adding to 100131311 its reverse (113131001), we get a palindrome (213262312).

The spelling of 100131311 in words is "one hundred million, one hundred thirty-one thousand, three hundred eleven".