100133030311001 has 8 divisors (see below), whose sum is σ = 100565867178504. Its totient is φ = 99700219780480.

The previous prime is 100133030310923. The next prime is 100133030311051. The reversal of 100133030311001 is 100113030331001.

It can be written as a sum of positive squares in 4 ways, for example, as 38158726425625 + 61974303885376 = 6177275^2 + 7872376^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100133030311001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133030311051) 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, 1055291 + ... + 14190831.

It is an arithmetic number, because the mean of its divisors is an integer number (12570733397313).

Almost surely, 2^{100133030311001} is an apocalyptic number.

It is an amenable number.

100133030311001 is a deficient number, since it is larger than the sum of its proper divisors (432836867503).

100133030311001 is a wasteful number, since it uses less digits than its factorization.

100133030311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13168491.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100133030311001 its reverse (100113030331001), we get a palindrome (200246060642002).

The spelling of 100133030311001 in words is "one hundred trillion, one hundred thirty-three billion, thirty million, three hundred eleven thousand, one".