112131133030001 has 6 divisors (see below), whose sum is σ = 115243611523110. Its totient is φ = 109100561865696.

The previous prime is 112131133029997. The next prime is 112131133030067. The reversal of 112131133030001 is 100030331131211.

It can be written as a sum of positive squares in 3 ways, for example, as 98665462436401 + 13465670593600 = 9933049^2 + 3669560^2 .

It is not a de Polignac number, because 112131133030001 - 2² = 112131133029997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112131133030601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40953662996 + ... + 40953665733.

It is an arithmetic number, because the mean of its divisors is an integer number (19207268587185).

Almost surely, 2^{112131133030001} is an apocalyptic number.

It is an amenable number.

112131133030001 is a deficient number, since it is larger than the sum of its proper divisors (3112478493109).

112131133030001 is an frugal number, since it uses more digits than its factorization.

112131133030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81907328803 (or 81907328766 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 112131133030001 its reverse (100030331131211), we get a palindrome (212161464161212).

The spelling of 112131133030001 in words is "one hundred twelve trillion, one hundred thirty-one billion, one hundred thirty-three million, thirty thousand, one".