101144011323213 has 6 divisors (see below), whose sum is σ = 146096905244654. Its totient is φ = 67429340882136.

The previous prime is 101144011323211. The next prime is 101144011323217. The reversal of 101144011323213 is 312323110441101.

101144011323213 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 401 + 13 + 232 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57748038219369 + 43395973103844 = 7599213^2 + 6587562^2 .

It is not a de Polignac number, because 101144011323213 - 2¹ = 101144011323211 is a prime.

It is a super-2 number, since 2×101144011323213² (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 (101144011323211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5619111740170 + ... + 5619111740187.

Almost surely, 2^{101144011323213} is an apocalyptic number.

It is an amenable number.

101144011323213 is a deficient number, since it is larger than the sum of its proper divisors (44952893921441).

101144011323213 is a wasteful number, since it uses less digits than its factorization.

101144011323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11238223480363 (or 11238223480360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101144011323213 its reverse (312323110441101), we get a palindrome (413467121764314).

The spelling of 101144011323213 in words is "one hundred one trillion, one hundred forty-four billion, eleven million, three hundred twenty-three thousand, two hundred thirteen".