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13321301031 = 3217377093319
BaseRepresentation
bin11000110100000001…
…01110110000100111
31021101101101012121200
430122000232300213
5204240223113111
610041505413543
7651054122223
oct143200566047
937341335550
1013321301031
1157165886a5
1226b933a2b3
131343b1a15c
149052c5783
1552e76c256
hex31a02ec27

13321301031 has 48 divisors (see below), whose sum is σ = 20960222400. Its totient is φ = 8118641664.

The previous prime is 13321301027. The next prime is 13321301053. The reversal of 13321301031 is 13010312331.

It is a happy number.

13321301031 is a `hidden beast` number, since 1 + 332 + 1 + 301 + 0 + 31 = 666.

It is not a de Polignac number, because 13321301031 - 22 = 13321301027 is a prime.

It is a super-2 number, since 2×133213010312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13321300995 and 13321301013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321301011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4011990 + ... + 4015308.

It is an arithmetic number, because the mean of its divisors is an integer number (436671300).

Almost surely, 213321301031 is an apocalyptic number.

13321301031 is a deficient number, since it is larger than the sum of its proper divisors (7638921369).

13321301031 is a wasteful number, since it uses less digits than its factorization.

13321301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13321301031 its reverse (13010312331), we get a palindrome (26331613362).

The spelling of 13321301031 in words is "thirteen billion, three hundred twenty-one million, three hundred one thousand, thirty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 709 1887 2127 3319 5661 6381 9957 12053 26233 29871 36159 56423 78699 108477 122803 169269 236097 368409 445961 507807 1105227 1337883 2087651 2353171 4013649 6262953 7059513 18788859 21178539 40003907 87067327 120011721 261201981 360035163 783605943 1480144559 4440433677 13321301031