101761644513213 has 6 divisors (see below), whose sum is σ = 146989042074654. Its totient is φ = 67841096342136.

The previous prime is 101761644513169. The next prime is 101761644513223. The reversal of 101761644513213 is 312315446167101.

101761644513213 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 6 + 164 + 451 + 32 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51000550912089 + 50761093601124 = 7141467^2 + 7124682^2 .

It is not a de Polignac number, because 101761644513213 - 2¹⁴ = 101761644496829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101761644513223) 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, 5653424695170 + ... + 5653424695187.

It is an arithmetic number, because the mean of its divisors is an integer number (24498173679109).

Almost surely, 2^{101761644513213} is an apocalyptic number.

It is an amenable number.

101761644513213 is a deficient number, since it is larger than the sum of its proper divisors (45227397561441).

101761644513213 is a wasteful number, since it uses less digits than its factorization.

101761644513213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306849390363 (or 11306849390360 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 101761644513213 in words is "one hundred one trillion, seven hundred sixty-one billion, six hundred forty-four million, five hundred thirteen thousand, two hundred thirteen".