100131132012001 has 8 divisors (see below), whose sum is σ = 105402499987680. Its totient is φ = 94859894875968.

The previous prime is 100131132011993. The next prime is 100131132012029. The reversal of 100131132012001 is 100210231131001.

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 100131132012001 - 2³ = 100131132011993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131132012091) 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, 31137091 + ... + 34202056.

It is an arithmetic number, because the mean of its divisors is an integer number (13175312498460).

Almost surely, 2^{100131132012001} is an apocalyptic number.

It is an amenable number.

100131132012001 is a deficient number, since it is larger than the sum of its proper divisors (5271367975679).

100131132012001 is an equidigital number, since it uses as much as digits as its factorization.

100131132012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65419823.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100131132012001 its reverse (100210231131001), we get a palindrome (200341363143002).

The spelling of 100131132012001 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-two million, twelve thousand, one".