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12012113101313 = 132953601176773
BaseRepresentation
bin1010111011001100100110…
…1111000000001000000001
31120112100100211000101222102
42232303021233000020001
53033301301423220223
641314142155520145
72346563234455463
oct256631157001001
946470324011872
1012012113101313
113911343766136
121420040459055
13691978104260
142d756463c133
1515c6e1582928
hexaecc9bc0201

12012113101313 has 16 divisors (see below), whose sum is σ = 13634689234320. Its totient is φ = 10503760560384.

The previous prime is 12012113101277. The next prime is 12012113101319. The reversal of 12012113101313 is 31310131121021.

It can be written as a sum of positive squares in 8 ways, for example, as 565177679089 + 11446935422224 = 751783^2 + 3383332^2 .

It is not a de Polignac number, because 12012113101313 - 222 = 12012108907009 is a prime.

It is a super-2 number, since 2×120121131013132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12012113101319) 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, 300568406 + ... + 300608367.

It is an arithmetic number, because the mean of its divisors is an integer number (852168077145).

Almost surely, 212012113101313 is an apocalyptic number.

12012113101313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12012113101313 is a deficient number, since it is larger than the sum of its proper divisors (1622576133007).

12012113101313 is a wasteful number, since it uses less digits than its factorization.

12012113101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601176868.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12012113101313 its reverse (31310131121021), we get a palindrome (43322244222334).

The spelling of 12012113101313 in words is "twelve trillion, twelve billion, one hundred thirteen million, one hundred one thousand, three hundred thirteen".

Divisors: 1 13 29 53 377 689 1537 19981 601176773 7815298049 17434126417 31862368969 226643643421 414210796597 924008700101 12012113101313