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13131321300 = 22325214590357
BaseRepresentation
bin11000011101011000…
…00000111111010100
31020220010220020102100
430032230000333110
5203343104240200
610011001442100
7643256250366
oct141654007724
936803806370
1013131321300
11562931a059
1226657a0330
131313660a06
148c7d90d36
1551cc41d00
hex30eb00fd4

13131321300 has 54 divisors (see below), whose sum is σ = 41159399918. Its totient is φ = 3501685440.

The previous prime is 13131321283. The next prime is 13131321317. The reversal of 13131321300 is 312313131.

It is a happy number.

13131321300 is a `hidden beast` number, since 1 + 31 + 313 + 21 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (13131321283) and next prime (13131321317).

It can be written as a sum of positive squares in 3 ways, for example, as 2198109456 + 10933211844 = 46884^2 + 104562^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7294279 + ... + 7296078.

Almost surely, 213131321300 is an apocalyptic number.

13131321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131321300 is an abundant number, since it is smaller than the sum of its proper divisors (28028078618).

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

13131321300 is a wasteful number, since it uses less digits than its factorization.

13131321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14590377 (or 14590367 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131321300 its reverse (312313131), we get a palindrome (13443634431).

The spelling of 13131321300 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14590357 29180714 43771071 58361428 72951785 87542142 131313213 145903570 175084284 218855355 262626426 291807140 364758925 437710710 525252852 656566065 729517850 875421420 1094276775 1313132130 1459035700 2188553550 2626264260 3282830325 4377107100 6565660650 13131321300