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313323122013 = 31189151706499
BaseRepresentation
bin1001000111100111000…
…00110110110101011101
31002221202000201202021120
410203303200312311131
520113141204401023
6355534425521153
731431303410556
oct4436340666535
91087660652246
10313323122013
11110974809040
12508833431b9
1323714135865
141124477d32d
15823c18a8e3
hex48f3836d5d

313323122013 has 32 divisors (see below), whose sum is σ = 463916160000. Its totient is φ = 186515472000.

The previous prime is 313323121999. The next prime is 313323122053. The reversal of 313323122013 is 310221323313.

It is not a de Polignac number, because 313323122013 - 26 = 313323121949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313323122053) 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, 90238 + ... + 796736.

It is an arithmetic number, because the mean of its divisors is an integer number (14497380000).

Almost surely, 2313323122013 is an apocalyptic number.

313323122013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313323122013 is a deficient number, since it is larger than the sum of its proper divisors (150593037987).

313323122013 is a wasteful number, since it uses less digits than its factorization.

313323122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706753.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313323122013 its reverse (310221323313), we get a palindrome (623544445326).

The spelling of 313323122013 in words is "three hundred thirteen billion, three hundred twenty-three million, one hundred twenty-two thousand, thirteen".

Divisors: 1 3 11 33 89 151 267 453 979 1661 2937 4983 13439 40317 147829 443487 706499 2119497 7771489 23314467 62878411 106681349 188635233 320044047 691662521 1173494839 2074987563 3520484517 9494640061 28483920183 104441040671 313323122013