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131313101100 = 223521151380287
BaseRepresentation
bin111101001001011011…
…1101110100100101100
3110112221102202200200220
41322102313232210230
54122412123213400
6140154023251340
712326026641306
oct1722267564454
9415842680626
10131313101100
1150764905455
12215485a9b50
13c4c8c48a2c
1464d9a3a976
1536382907a0
hex1e92dee92c

131313101100 has 72 divisors (see below), whose sum is σ = 380263661568. Its totient is φ = 34986312000.

The previous prime is 131313101099. The next prime is 131313101113. The reversal of 131313101100 is 1101313131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131313101100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155157 + ... + 535443.

It is an arithmetic number, because the mean of its divisors is an integer number (5281439744).

Almost surely, 2131313101100 is an apocalyptic number.

131313101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313101100 is an abundant number, since it is smaller than the sum of its proper divisors (248950560468).

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

131313101100 is a wasteful number, since it uses less digits than its factorization.

131313101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381455 (or 381448 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131313101100 its reverse (1101313131), we get a palindrome (132414414231).

The spelling of 131313101100 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1151 2302 3453 4604 5755 6906 11510 13812 17265 23020 28775 34530 57550 69060 86325 115100 172650 345300 380287 760574 1140861 1521148 1901435 2281722 3802870 4563444 5704305 7605740 9507175 11408610 19014350 22817220 28521525 38028700 57043050 114086100 437710337 875420674 1313131011 1750841348 2188551685 2626262022 4377103370 5252524044 6565655055 8754206740 10942758425 13131310110 21885516850 26262620220 32828275275 43771033700 65656550550 131313101100