10133111123001 has 20 divisors (see below), whose sum is σ = 15286989069924. Its totient is φ = 6688522188000.

The previous prime is 10133111122991. The next prime is 10133111123063. The reversal of 10133111123001 is 10032111133101.

10133111123001 is a `hidden beast` number, since 10 + 1 + 331 + 11 + 12 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8104981955625 + 2028129167376 = 2846925^2 + 1424124^2 .

It is not a de Polignac number, because 10133111123001 - 2¹⁴ = 10133111106617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133111125001) 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 19 ways as a sum of consecutive naturals, for example, 619299430 + ... + 619315791.

Almost surely, 2^{10133111123001} is an apocalyptic number.

It is an amenable number.

10133111123001 is a deficient number, since it is larger than the sum of its proper divisors (5153877946923).

10133111123001 is a wasteful number, since it uses less digits than its factorization.

10133111123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238615334 (or 1238615325 counting only the distinct ones).

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

Adding to 10133111123001 its reverse (10032111133101), we get a palindrome (20165222256102).

It can be divided in two parts, 1013311 and 1123001, that added together give a palindrome (2136312).

The spelling of 10133111123001 in words is "ten trillion, one hundred thirty-three billion, one hundred eleven million, one hundred twenty-three thousand, one".