133100311010101 has 32 divisors (see below), whose sum is σ = 137903335764480. Its totient is φ = 128404250956800.

The previous prime is 133100311010059. The next prime is 133100311010119. The reversal of 133100311010101 is 101010113001331.

It is a cyclic number.

It is not a de Polignac number, because 133100311010101 - 2²⁵ = 133100277455669 is a prime.

It is a super-2 number, since 2×133100311010101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133100311010201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3185950125 + ... + 3185991901.

It is an arithmetic number, because the mean of its divisors is an integer number (4309479242640).

Almost surely, 2^{133100311010101} is an apocalyptic number.

It is an amenable number.

133100311010101 is a deficient number, since it is larger than the sum of its proper divisors (4803024754379).

133100311010101 is a wasteful number, since it uses less digits than its factorization.

133100311010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46285.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 133100311010101 its reverse (101010113001331), we get a palindrome (234110424011432).

The spelling of 133100311010101 in words is "one hundred thirty-three trillion, one hundred billion, three hundred eleven million, ten thousand, one hundred one".