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213011002301331 = 31359874110590691
BaseRepresentation
bin110000011011101101111101…
…001000000001101110010011
31000221012122121222220101220210
4300123231331020001232103
5210404433013042120311
62033011523055335203
762603352132155403
oct6033557510015623
91027178558811823
10213011002301331
1161965505682963
121ba82b61821503
1391b1b0b499270
143a85b04d58803
151995d895bc3a6
hexc1bb7d201b93

213011002301331 has 32 divisors (see below), whose sum is σ = 311081666999040. Its totient is φ = 128847181795200.

The previous prime is 213011002301327. The next prime is 213011002301347. The reversal of 213011002301331 is 133103200110312.

It is a happy number.

213011002301331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213011002301331 - 22 = 213011002301327 is a prime.

It is a super-2 number, since 2×2130110023013312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213011002301298 and 213011002301307.

It is not an unprimeable number, because it can be changed into a prime (213011002309331) 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, 14817696 + ... + 25408386.

It is an arithmetic number, because the mean of its divisors is an integer number (9721302093720).

Almost surely, 2213011002301331 is an apocalyptic number.

213011002301331 is a deficient number, since it is larger than the sum of its proper divisors (98070664697709).

213011002301331 is a wasteful number, since it uses less digits than its factorization.

213011002301331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599507.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213011002301331 its reverse (133103200110312), we get a palindrome (346114202411643).

The spelling of 213011002301331 in words is "two hundred thirteen trillion, eleven billion, two million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 59 177 767 2301 8741 26223 113633 340899 515719 1547157 6704347 10590691 20113041 31772073 137678983 413036949 624850769 1874552307 8123059997 24369179991 92573230031 277719690093 1203451990403 3610355971209 5461820571829 16385461715487 71003667433777 213011002301331