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13131013332 = 22359163113783
BaseRepresentation
bin11000011101010101…
…10101110011010100
31020220010022120222010
430032222311303110
5203343014411312
610010551104220
7643253525463
oct141652656324
936803276863
1013131013332
115629129738
122665672070
131313583798
148c7d109da
1551cbd093c
hex30eab5cd4

13131013332 has 48 divisors (see below), whose sum is σ = 31349767680. Its totient is φ = 4276382688.

The previous prime is 13131013321. The next prime is 13131013369. The reversal of 13131013332 is 23331013131.

It is a super-2 number, since 2×131310133322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131013299 and 13131013308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58513 + ... + 172295.

It is an arithmetic number, because the mean of its divisors is an integer number (653120160).

Almost surely, 213131013332 is an apocalyptic number.

13131013332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131013332 is an abundant number, since it is smaller than the sum of its proper divisors (18218754348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131013332 is a wasteful number, since it uses less digits than its factorization.

13131013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114012 (or 114010 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13131013332 its reverse (23331013131), we get a palindrome (36462026463).

The spelling of 13131013332 in words is "thirteen billion, one hundred thirty-one million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 118 163 177 236 326 354 489 652 708 978 1956 9617 19234 28851 38468 57702 113783 115404 227566 341349 455132 682698 1365396 6713197 13426394 18546629 20139591 26852788 37093258 40279182 55639887 74186516 80558364 111279774 222559548 1094251111 2188502222 3282753333 4377004444 6565506666 13131013332