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131313100323213 = 3346425710475767
BaseRepresentation
bin11101110110110110110110…
…101100101111100110001101
3122012221102001201221010001000
4131312312312230233212031
5114202413212140320323
61143140223331010513
736442026016250244
oct3566666654574615
9565842051833030
10131313100323213
1138927633897116
1212889437739a39
135836a06778c63
14245d83354995b
15102ab4d63ae43
hex776db6b2f98d

131313100323213 has 16 divisors (see below), whose sum is σ = 194538364005760. Its totient is φ = 87541869961728.

The previous prime is 131313100323131. The next prime is 131313100323217. The reversal of 131313100323213 is 312323001313131.

131313100323213 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 310 + 0 + 323 + 21 + 3 = 666.

It is not a de Polignac number, because 131313100323213 - 213 = 131313100315021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313100323217) 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, 7297056 + ... + 17772822.

It is an arithmetic number, because the mean of its divisors is an integer number (12158647750360).

Almost surely, 2131313100323213 is an apocalyptic number.

It is an amenable number.

131313100323213 is a deficient number, since it is larger than the sum of its proper divisors (63225263682547).

131313100323213 is a wasteful number, since it uses less digits than its factorization.

131313100323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10940033 (or 10940027 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131313100323213 its reverse (312323001313131), we get a palindrome (443636101636344).

The spelling of 131313100323213 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 464257 1392771 4178313 10475767 12534939 31427301 94281903 282845709 4863448160119 14590344480357 43771033441071 131313100323213