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131013213132300 = 22352675896461269
BaseRepresentation
bin11101110010011111100100…
…000001111001011000001100
3122011212202000002021101021020
4131302133210001321120030
5114133010030030213200
61142350350023434140
736411251361216222
oct3562374401713014
9564782002241236
10131013213132300
113882143433aa74
121283b2a3bb5950
1358146541271b5
14244d1053b0b12
151022e4ad11ea0
hex7727e407960c

131013213132300 has 72 divisors (see below), whose sum is σ = 379070563712400. Its totient is φ = 34936334526720.

The previous prime is 131013213132257. The next prime is 131013213132311. The reversal of 131013213132300 is 3231312310131.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17046066 + ... + 23507334.

It is an arithmetic number, because the mean of its divisors is an integer number (5264868940450).

Almost surely, 2131013213132300 is an apocalyptic number.

131013213132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013213132300 is an abundant number, since it is smaller than the sum of its proper divisors (248057350580100).

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

131013213132300 is a wasteful number, since it uses less digits than its factorization.

131013213132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528875 (or 6528868 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131013213132300 its reverse (3231312310131), we get a palindrome (134244525442431).

The spelling of 131013213132300 in words is "one hundred thirty-one trillion, thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 67589 135178 202767 270356 337945 405534 675890 811068 1013835 1351780 1689725 2027670 3379450 4055340 5069175 6461269 6758900 10138350 12922538 19383807 20276700 25845076 32306345 38767614 64612690 77535228 96919035 129225380 161531725 193838070 323063450 387676140 484595175 646126900 969190350 1938380700 436710710441 873421420882 1310132131323 1746842841764 2183553552205 2620264262646 4367107104410 5240528525292 6550660656615 8734214208820 10917767761025 13101321313230 21835535522050 26202642626460 32753303283075 43671071044100 65506606566150 131013213132300