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31121312313 = 3713237347683
BaseRepresentation
bin11100111110111110…
…011000101000111001
32222022220020110200210
4130332332120220321
51002214023443223
622144045421333
72151133534650
oct347676305071
988286213623
1031121312313
1112220195623
12604656a849
132c1c798600
141713334197
15c222be893
hex73ef98a39

31121312313 has 96 divisors (see below), whose sum is σ = 52968784896. Its totient is φ = 15902625024.

The previous prime is 31121312309. The next prime is 31121312407. The reversal of 31121312313 is 31321312113.

It is a happy number.

It is not a de Polignac number, because 31121312313 - 22 = 31121312309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31121312313.

It is not an unprimeable number, because it can be changed into a prime (31121312303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45565270 + ... + 45565952.

It is an arithmetic number, because the mean of its divisors is an integer number (551758176).

Almost surely, 231121312313 is an apocalyptic number.

It is an amenable number.

31121312313 is a deficient number, since it is larger than the sum of its proper divisors (21847472583).

31121312313 is a wasteful number, since it uses less digits than its factorization.

31121312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 31121312313 its reverse (31321312113), we get a palindrome (62442624426).

The spelling of 31121312313 in words is "thirty-one billion, one hundred twenty-one million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 37 39 91 111 169 259 273 347 481 507 683 777 1041 1183 1443 2049 2429 3367 3549 4511 4781 6253 7287 8879 10101 12839 13533 14343 18759 25271 26637 31577 38517 43771 58643 62153 75813 89873 94731 115427 131313 166907 175929 176897 186459 237001 269619 328523 346281 410501 500721 530691 711003 807989 985569 1168349 1231503 1659007 2169791 2299661 2423967 3081013 3505047 4270799 4977021 6509373 6898983 8769037 9243039 12812397 15188537 21567091 26307111 29895593 40053169 45565611 61383259 64701273 89686779 113997481 120159507 184149777 280372183 341992443 797982367 841116549 1481967253 2393947101 4445901759 10373770771 31121312313