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321013330123213 = 71318190072163829
BaseRepresentation
bin100100011111101011011110…
…1100000101001100111001101
31120002121120111220210221101001
41020333112331200221213031
5314033440300002420323
63054423253223420301
7124421306401446010
oct11077267540514715
91502546456727331
10321013330123213
1193314a97066302
123000664a8b4691
1310a1757256cc50
14593b1b163b377
15271a46036c3ad
hex123f5bd8299cd

321013330123213 has 32 divisors (see below), whose sum is σ = 397320456565760. Its totient is φ = 252557157185280.

The previous prime is 321013330123193. The next prime is 321013330123217. The reversal of 321013330123213 is 312321033310123.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 321013330123213 - 233 = 321004740188621 is a prime.

It is a super-2 number, since 2×3210133301232132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321013330123217) 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, 147272383 + ... + 149436211.

It is an arithmetic number, because the mean of its divisors is an integer number (12416264267680).

Almost surely, 2321013330123213 is an apocalyptic number.

It is an amenable number.

321013330123213 is a deficient number, since it is larger than the sum of its proper divisors (76307126442547).

321013330123213 is a wasteful number, since it uses less digits than its factorization.

321013330123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173037.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 321013330123213 its reverse (312321033310123), we get a palindrome (633334363433336).

The spelling of 321013330123213 in words is "three hundred twenty-one trillion, thirteen billion, three hundred thirty million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 13 91 181 1267 2353 9007 16471 63049 117091 819637 1630267 2163829 11411869 15146803 21193471 28129777 148354297 196908439 391653049 2741571343 5091489637 19489607803 35640427459 136427254621 253364901439 1773554310073 3527619012343 24693333086401 45859047160459 321013330123213