100131010431 has 16 divisors (see below), whose sum is σ = 136567640064. Its totient is φ = 65239884864.

The previous prime is 100131010409. The next prime is 100131010451. The reversal of 100131010431 is 134010131001.

It is not a de Polignac number, because 100131010431 - 2¹⁵ = 100130977663 is a prime.

It is a super-2 number, since 2×100131010431² (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 100131010431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131010451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935750 + ... + 1986803.

It is an arithmetic number, because the mean of its divisors is an integer number (8535477504).

Almost surely, 2^100131010431 is an apocalyptic number.

100131010431 is a deficient number, since it is larger than the sum of its proper divisors (36436629633).

100131010431 is a wasteful number, since it uses less digits than its factorization.

100131010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922750.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100131010431 its reverse (134010131001), we get a palindrome (234141141432).

The spelling of 100131010431 in words is "one hundred billion, one hundred thirty-one million, ten thousand, four hundred thirty-one".