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13101132102023 = 712912353161609
BaseRepresentation
bin1011111010100101100001…
…0100110011100110000111
31201101110022102101121112202
42332221120110303212013
53204122104304231043
643510324344305115
72521345160315030
oct276513024634607
951343272347482
1013101132102023
1141a11825868a9
12157710677219b
1374057bba84c4
1433415357da87
1517abcce991b8
hexbea58533987

13101132102023 has 16 divisors (see below), whose sum is σ = 14985200190720. Its totient is φ = 11220184497600.

The previous prime is 13101132101977. The next prime is 13101132102031. The reversal of 13101132102023 is 32020123110131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13101132102023 - 210 = 13101132100999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101132101986 and 13101132102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101132102923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212618843 + ... + 212680451.

It is an arithmetic number, because the mean of its divisors is an integer number (936575011920).

Almost surely, 213101132102023 is an apocalyptic number.

13101132102023 is a deficient number, since it is larger than the sum of its proper divisors (1884068088697).

13101132102023 is a wasteful number, since it uses less digits than its factorization.

13101132102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86438.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101132102023 its reverse (32020123110131), we get a palindrome (45121255212154).

The spelling of 13101132102023 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, one hundred two thousand, twenty-three".

Divisors: 1 7 1291 9037 23531 61609 164717 431263 30378521 79537219 212649647 556760533 1449721379 10148049653 1871590300289 13101132102023