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2013131300121 = 3561463293329
BaseRepresentation
bin11101010010110111111…
…110011101110100011001
321010110020120201000100000
4131102313332131310121
5230440343103100441
64140453022203213
7265305161466624
oct35226776356431
97113216630300
102013131300121
11706845155a37
122861a9723509
13117ab6bb8546
146d616836dbb
1537575c182b6
hex1d4b7f9dd19

2013131300121 has 48 divisors (see below), whose sum is σ = 3071620348160. Its totient is φ = 1317230449920.

The previous prime is 2013131300053. The next prime is 2013131300153. The reversal of 2013131300121 is 1210031313102.

2013131300121 is a `hidden beast` number, since 201 + 31 + 313 + 0 + 0 + 121 = 666.

It is not a de Polignac number, because 2013131300121 - 29 = 2013131299609 is a prime.

It is a super-2 number, since 2×20131313001212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013131300094 and 2013131300103.

It is not an unprimeable number, because it can be changed into a prime (2013131310121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6716385 + ... + 7009713.

Almost surely, 22013131300121 is an apocalyptic number.

It is an amenable number.

2013131300121 is a deficient number, since it is larger than the sum of its proper divisors (1058489048039).

2013131300121 is an equidigital number, since it uses as much as digits as its factorization.

2013131300121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293868 (or 293856 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013131300121 its reverse (1210031313102), we get a palindrome (3223162613223).

The spelling of 2013131300121 in words is "two trillion, thirteen billion, one hundred thirty-one million, three hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 27 61 81 183 243 463 549 1389 1647 4167 4941 12501 14823 28243 37503 84729 112509 254187 293329 762561 879987 2287683 2639961 6863049 7919883 17893069 23759649 53679207 71278947 135811327 161037621 407433981 483112863 1222301943 1449338589 3666905829 4348015767 8284490947 11000717487 24853472841 33002152461 74560418523 223681255569 671043766707 2013131300121