101213102110133 has 16 divisors (see below), whose sum is σ = 109077437683200. Its totient is φ = 93360021201216.

The previous prime is 101213102110049. The next prime is 101213102110171. The reversal of 101213102110133 is 331011201312101.

It is a cyclic number.

It is not a de Polignac number, because 101213102110133 - 2²² = 101213097915829 is a prime.

It is a super-2 number, since 2×101213102110133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213102110633) 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, 249892418 + ... + 250297116.

It is an arithmetic number, because the mean of its divisors is an integer number (6817339855200).

Almost surely, 2^{101213102110133} is an apocalyptic number.

101213102110133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101213102110133 is a deficient number, since it is larger than the sum of its proper divisors (7864335573067).

101213102110133 is a wasteful number, since it uses less digits than its factorization.

101213102110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418556.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101213102110133 its reverse (331011201312101), we get a palindrome (432224303422234).

The spelling of 101213102110133 in words is "one hundred one trillion, two hundred thirteen billion, one hundred two million, one hundred ten thousand, one hundred thirty-three".