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1313020212021 = 337106919513331
BaseRepresentation
bin10011000110110110000…
…110100111001100110101
311122112010122011202101000
4103012312012213030311
5133003031133241041
62443105415553513
7163601602440240
oct23066606471465
94575118152330
101313020212021
114669377521a1
1219257b98b899
1396a81724bcb
144779c896257
152424c01abb6
hex131b61a7335

1313020212021 has 64 divisors (see below), whose sum is σ = 2226991513600. Its totient is φ = 748986264000.

The previous prime is 1313020212017. The next prime is 1313020212113. The reversal of 1313020212021 is 1202120203131.

1313020212021 is a `hidden beast` number, since 131 + 302 + 0 + 212 + 0 + 21 = 666.

It is not a de Polignac number, because 1313020212021 - 22 = 1313020212017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313020211985 and 1313020212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313020212821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394180326 + ... + 394183656.

It is an arithmetic number, because the mean of its divisors is an integer number (34796742400).

Almost surely, 21313020212021 is an apocalyptic number.

It is an amenable number.

1313020212021 is a deficient number, since it is larger than the sum of its proper divisors (913971301579).

1313020212021 is a wasteful number, since it uses less digits than its factorization.

1313020212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1313020212021 its reverse (1202120203131), we get a palindrome (2515140415152).

The spelling of 1313020212021 in words is "one trillion, three hundred thirteen billion, twenty million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1069 1951 3207 3331 5853 7483 9621 9993 13657 17559 22449 23317 28863 29979 40971 52677 67347 69951 89937 122913 202041 209853 368739 629559 2085619 3560839 6256857 6498781 10682517 14599333 18770571 19496343 24925873 32047551 43797999 45491467 56311713 58489029 74777619 96142653 131393997 136474401 175467087 224332857 394181991 409423203 672998571 1228269609 6947196889 20841590667 48630378223 62524772001 145891134669 187574316003 437673404007 1313020212021