133100010001 has 16 divisors (see below), whose sum is σ = 161083676160. Its totient is φ = 107360478720.

The previous prime is 133100009983. The next prime is 133100010019. The reversal of 133100010001 is 100010001331.

It is an interprime number because it is at equal distance from previous prime (133100009983) and next prime (133100010019).

It is a cyclic number.

It is not a de Polignac number, because 133100010001 - 2⁵ = 133100009969 is a prime.

It is a super-2 number, since 2×133100010001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

133100010001 is a modest number, since divided by 10001 gives 1331 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 133100010001.

It is not an unprimeable number, because it can be changed into a prime (133100010401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871741 + ... + 1012981.

It is an arithmetic number, because the mean of its divisors is an integer number (10067729760).

Almost surely, 2^133100010001 is an apocalyptic number.

It is an amenable number.

133100010001 is a deficient number, since it is larger than the sum of its proper divisors (27983666159).

133100010001 is a wasteful number, since it uses less digits than its factorization.

133100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149184.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 133100010001 its reverse (100010001331), we get a palindrome (233110011332).

The spelling of 133100010001 in words is "one hundred thirty-three billion, one hundred million, ten thousand, one".