100131132131 has 8 divisors (see below), whose sum is σ = 100413332880. Its totient is φ = 99849138048.

The previous prime is 100131132121. The next prime is 100131132137. The reversal of 100131132131 is 131231131001.

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 100131132131 - 2⁶ = 100131132067 is a prime.

It is a super-2 number, since 2×100131132131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131132137) 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, 945695 + ... + 1046231.

It is an arithmetic number, because the mean of its divisors is an integer number (12551666610).

Almost surely, 2^100131132131 is an apocalyptic number.

100131132131 is a deficient number, since it is larger than the sum of its proper divisors (282200749).

100131132131 is a wasteful number, since it uses less digits than its factorization.

100131132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103333.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100131132131 its reverse (131231131001), we get a palindrome (231362263132).

The spelling of 100131132131 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-one".