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331013202113313 = 3315319800296901
BaseRepresentation
bin100101101000011100000010…
…0010100111111001100100001
31121102000112221012011121122000
41023100320010110333030201
5321341310014220111223
63132001211001034213
7126502625504061516
oct11320700424771441
91542015835147560
10331013202113313
119651aa02107615
12311606ab785969
1311291546028765
145ba51a576730d
15284062de26543
hex12d0e0453f321

331013202113313 has 16 divisors (see below), whose sum is σ = 490421941545600. Its totient is φ = 220661062455600.

The previous prime is 331013202113309. The next prime is 331013202113329. The reversal of 331013202113313 is 313311202310133.

331013202113313 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 1 + 320 + 2 + 1 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 331013202113313 - 22 = 331013202113309 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (331013202113813) 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, 399734838 + ... + 400562063.

It is an arithmetic number, because the mean of its divisors is an integer number (30651371346600).

Almost surely, 2331013202113313 is an apocalyptic number.

It is an amenable number.

331013202113313 is a deficient number, since it is larger than the sum of its proper divisors (159408739432287).

331013202113313 is a wasteful number, since it uses less digits than its factorization.

331013202113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800312229 (or 800312223 counting only the distinct ones).

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

Adding to 331013202113313 its reverse (313311202310133), we get a palindrome (644324404423446).

The spelling of 331013202113313 in words is "three hundred thirty-one trillion, thirteen billion, two hundred two million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 27 15319 45957 137871 413613 800296901 2400890703 7202672109 21608016327 12259748226419 36779244679257 110337734037771 331013202113313