Search a number
-
+
13131212100331 = 131815580625627
BaseRepresentation
bin1011111100010101100100…
…1110111001001011101011
31201111022221202012211222011
42333011121032321023223
53210120210244202311
643532221235140351
72523461451142063
oct277053116711353
951438852184864
1013131212100331
114202a0899a836
121580b004446b7
137433639ccc80
143357a84903a3
1517b88db26321
hexbf1593b92eb

13131212100331 has 8 divisors (see below), whose sum is σ = 14219434100144. Its totient is φ = 12054151352160.

The previous prime is 13131212100329. The next prime is 13131212100343. The reversal of 13131212100331 is 13300121213131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13131212100331 - 21 = 13131212100329 is a prime.

It is a super-3 number, since 3×131312121003313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13131212100361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2790310461 + ... + 2790315166.

It is an arithmetic number, because the mean of its divisors is an integer number (1777429262518).

Almost surely, 213131212100331 is an apocalyptic number.

13131212100331 is a deficient number, since it is larger than the sum of its proper divisors (1088221999813).

13131212100331 is a wasteful number, since it uses less digits than its factorization.

13131212100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580625821.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13131212100331 its reverse (13300121213131), we get a palindrome (26431333313462).

The spelling of 13131212100331 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twelve million, one hundred thousand, three hundred thirty-one".

Divisors: 1 13 181 2353 5580625627 72548133151 1010093238487 13131212100331