10111332113001 has 64 divisors (see below), whose sum is σ = 17237981376000. Its totient is φ = 5738004603648.

The previous prime is 10111332112991. The next prime is 10111332113009. The reversal of 10111332113001 is 10031123311101.

10111332113001 is a `hidden beast` number, since 10 + 1 + 11 + 332 + 11 + 300 + 1 = 666.

It is not a de Polignac number, because 10111332113001 - 2⁵ = 10111332112969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111332113009) 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 63 ways as a sum of consecutive naturals, for example, 156458371 + ... + 156522983.

It is an arithmetic number, because the mean of its divisors is an integer number (269343459000).

Almost surely, 2^{10111332113001} is an apocalyptic number.

It is an amenable number.

10111332113001 is a deficient number, since it is larger than the sum of its proper divisors (7126649262999).

10111332113001 is a wasteful number, since it uses less digits than its factorization.

10111332113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70335 (or 70329 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10111332113001 its reverse (10031123311101), we get a palindrome (20142455424102).

The spelling of 10111332113001 in words is "ten trillion, one hundred eleven billion, three hundred thirty-two million, one hundred thirteen thousand, one".