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13120421330133 = 3213743150929143
BaseRepresentation
bin1011111011101101011000…
…0011010111110011010101
31201110022002201110221001200
42332323112003113303111
53204431110330031013
643523234403343113
72522630162124465
oct276732603276325
951408081427050
1013120421330133
1141a9380879437
12157a9aa681a99
13742334241a50
143350632c5ba5
1517b45b615e73
hexbeed60d7cd5

13120421330133 has 24 divisors (see below), whose sum is σ = 20437013530752. Its totient is φ = 8063238482208.

The previous prime is 13120421330129. The next prime is 13120421330147. The reversal of 13120421330133 is 33103312402131.

13120421330133 is a `hidden beast` number, since 1 + 312 + 0 + 4 + 2 + 1 + 330 + 13 + 3 = 666.

It is not a de Polignac number, because 13120421330133 - 22 = 13120421330129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13120421330097 and 13120421330106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120421330113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75377641 + ... + 75551502.

It is an arithmetic number, because the mean of its divisors is an integer number (851542230448).

Almost surely, 213120421330133 is an apocalyptic number.

13120421330133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13120421330133 is a deficient number, since it is larger than the sum of its proper divisors (7316592200619).

13120421330133 is a wasteful number, since it uses less digits than its factorization.

13120421330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150929905 (or 150929902 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13120421330133 its reverse (33103312402131), we get a palindrome (46223733732264).

The spelling of 13120421330133 in words is "thirteen trillion, one hundred twenty billion, four hundred twenty-one million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 743 2229 6687 9659 28977 86931 150929143 452787429 1358362287 1962078859 5886236577 17658709731 112140353249 336421059747 1009263179241 1457824592237 4373473776711 13120421330133