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13033230131133 = 34179859960031
BaseRepresentation
bin1011110110101000100100…
…0011010101111110111101
31201010222001012212002120000
42331222021003111332331
53202014023403144013
643415214441344513
72513422410143232
oct275521103257675
951128035762500
1013033230131133
1141753a86a7093
121565b16498139
1373704a30b8c4
14330b5145d789
15179056b61973
hexbda890d5fbd

13033230131133 has 40 divisors (see below), whose sum is σ = 20616764002560. Its totient is φ = 8176875039360.

The previous prime is 13033230131093. The next prime is 13033230131143. The reversal of 13033230131133 is 33113103233031.

13033230131133 is a `hidden beast` number, since 1 + 303 + 3 + 230 + 13 + 113 + 3 = 666.

It is not a de Polignac number, because 13033230131133 - 221 = 13033228033981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13033230131097 and 13033230131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033230131143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13095828 + ... + 14055858.

It is an arithmetic number, because the mean of its divisors is an integer number (515419100064).

Almost surely, 213033230131133 is an apocalyptic number.

It is an amenable number.

13033230131133 is a deficient number, since it is larger than the sum of its proper divisors (7583533871427).

13033230131133 is an equidigital number, since it uses as much as digits as its factorization.

13033230131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969919 (or 969910 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13033230131133 its reverse (33113103233031), we get a palindrome (46146333364164).

The spelling of 13033230131133 in words is "thirteen trillion, thirty-three billion, two hundred thirty million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 51 81 153 459 1377 9859 29577 88731 167603 266193 502809 798579 960031 1508427 2880093 4525281 8640279 13575843 16320527 25920837 48961581 77762511 146884743 440654229 1321962687 9464945629 28394836887 85184510661 160904075693 255553531983 482712227079 766660595949 1448136681237 4344410043711 13033230131133