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331020201101213 = 13415326894357733
BaseRepresentation
bin100101101000011111010010…
…1100000000000011110011101
31121102001012222222000001002002
41023100332211200000132131
5321341413332440214323
63132004325301412045
7126503264111354201
oct11320764540003635
91542035888001062
10331020201101213
119652297392a838
1231161b2370a025
13112920c0068b10
145ba566b0dcb01
1528408dd5e0828
hex12d0fa580079d

331020201101213 has 32 divisors (see below), whose sum is σ = 372206611213920. Its totient is φ = 292371047055360.

The previous prime is 331020201101167. The next prime is 331020201101221. The reversal of 331020201101213 is 312101102020133.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 209756651748484 + 121263549352729 = 14482978^2 + 11011973^2 .

It is a de Polignac number, because none of the positive numbers 2k-331020201101213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331020201401213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73782695 + ... + 78140427.

It is an arithmetic number, because the mean of its divisors is an integer number (11631456600435).

Almost surely, 2331020201101213 is an apocalyptic number.

It is an amenable number.

331020201101213 is a deficient number, since it is larger than the sum of its proper divisors (41186410112707).

331020201101213 is a wasteful number, since it uses less digits than its factorization.

331020201101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360529.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 331020201101213 its reverse (312101102020133), we get a palindrome (643121303121346).

The spelling of 331020201101213 in words is "three hundred thirty-one trillion, twenty billion, two hundred one million, one hundred one thousand, two hundred thirteen".

Divisors: 1 13 41 53 533 689 2173 2689 28249 34957 110249 142517 1433237 1852721 4357733 5843197 56650529 75961561 178667053 230959849 2322671689 3002478037 9469353809 11717944037 123101599517 152333272481 480435705517 621051033961 6245664171721 8073663441493 25463092392401 331020201101213