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1313212201300 = 225254124273793
BaseRepresentation
bin10011000111000001100…
…010111111100101010100
311122112122000102211011001
4103013001202333211110
5133003424310420200
62443140434553044
7163606423351606
oct23070142774524
94575560384131
101313212201300
11466a2606361a
12192614138784
1396ab2435c2c
14477ba191176
152425dce176a
hex131c18bf954

1313212201300 has 36 divisors (see below), whose sum is σ = 2854938007516. Its totient is φ = 524313907200.

The previous prime is 1313212201291. The next prime is 1313212201307. The reversal of 1313212201300 is 31022123131.

It can be written as a sum of positive squares in 6 ways, for example, as 331202552004 + 982009649296 = 575502^2 + 990964^2 .

It is a super-4 number, since 4×13132122013004 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313212201307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12082797 + ... + 12190996.

Almost surely, 21313212201300 is an apocalyptic number.

1313212201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313212201300 is an abundant number, since it is smaller than the sum of its proper divisors (1541725806216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313212201300 is a wasteful number, since it uses less digits than its factorization.

1313212201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24274348 (or 24274341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1313212201300 its reverse (31022123131), we get a palindrome (1344234324431).

The spelling of 1313212201300 in words is "one trillion, three hundred thirteen billion, two hundred twelve million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 541 1082 2164 2705 5410 10820 13525 27050 54100 24273793 48547586 97095172 121368965 242737930 485475860 606844825 1213689650 2427379300 13132122013 26264244026 52528488052 65660610065 131321220130 262642440260 328303050325 656606100650 1313212201300