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13000101023 = 713163876431
BaseRepresentation
bin11000001101101110…
…11100110010011111
31020112222222120001002
430012313130302133
5203111011213043
65545553140515
7640104015110
oct140667346237
936488876032
1013000101023
115571244348
12262985a73b
1312c2408990
148b4794207
15511471bb8
hex306ddcc9f

13000101023 has 16 divisors (see below), whose sum is σ = 16098302976. Its totient is φ = 10222679520.

The previous prime is 13000101013. The next prime is 13000101031. The reversal of 13000101023 is 32010100031.

It is a cyclic number.

It is not a de Polignac number, because 13000101023 - 26 = 13000100959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000100995 and 13000101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000101013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423383 + ... + 453048.

It is an arithmetic number, because the mean of its divisors is an integer number (1006143936).

Almost surely, 213000101023 is an apocalyptic number.

13000101023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13000101023 is a deficient number, since it is larger than the sum of its proper divisors (3098201953).

13000101023 is a wasteful number, since it uses less digits than its factorization.

13000101023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876614.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13000101023 its reverse (32010100031), we get a palindrome (45010201054).

The spelling of 13000101023 in words is "thirteen billion, one hundred one thousand, twenty-three".

Divisors: 1 7 13 91 163 1141 2119 14833 876431 6135017 11393603 79755221 142858253 1000007771 1857157289 13000101023