10100113131 has 8 divisors (see below), whose sum is σ = 13901231104. Its totient is φ = 6516201960.

The previous prime is 10100113129. The next prime is 10100113139. The reversal of 10100113131 is 13131100101.

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

It is not a de Polignac number, because 10100113131 - 2¹ = 10100113129 is a prime.

It is a super-2 number, since 2×10100113131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100113139) 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, 54301591 + ... + 54301776.

It is an arithmetic number, because the mean of its divisors is an integer number (1737653888).

Almost surely, 2^10100113131 is an apocalyptic number.

10100113131 is a deficient number, since it is larger than the sum of its proper divisors (3801117973).

10100113131 is a wasteful number, since it uses less digits than its factorization.

10100113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108603401.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10100113131 its reverse (13131100101), we get a palindrome (23231213232).

The spelling of 10100113131 in words is "ten billion, one hundred million, one hundred thirteen thousand, one hundred thirty-one".