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133312102131 = 31329181651221
BaseRepresentation
bin111110000101000000…
…1010011111011110011
3110202002202020110121010
41330022001103323303
54141010344232011
6141124233002003
712426412112535
oct1741201237363
9422082213533
10133312102131
11515a022a51a
1221a05b53303
13c757133490
146649315855
153703a071a6
hex1f0a053ef3

133312102131 has 32 divisors (see below), whose sum is σ = 199117638720. Its totient is φ = 78771571200.

The previous prime is 133312102127. The next prime is 133312102159. The reversal of 133312102131 is 131201213331.

It is a happy number.

It is not a de Polignac number, because 133312102131 - 22 = 133312102127 is a prime.

It is a super-2 number, since 2×1333121021312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133312102098 and 133312102107.

It is not an unprimeable number, because it can be changed into a prime (133312122131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120900 + ... + 530321.

It is an arithmetic number, because the mean of its divisors is an integer number (6222426210).

Almost surely, 2133312102131 is an apocalyptic number.

133312102131 is a deficient number, since it is larger than the sum of its proper divisors (65805536589).

133312102131 is a wasteful number, since it uses less digits than its factorization.

133312102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651447.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133312102131 its reverse (131201213331), we get a palindrome (264513315462).

The spelling of 133312102131 in words is "one hundred thirty-three billion, three hundred twelve million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 3 13 29 39 87 181 377 543 1131 2353 5249 7059 15747 68237 204711 651221 1953663 8465873 18885409 25397619 56656227 117871001 245510317 353613003 736530951 1532323013 3418259029 4596969039 10254777087 44437367377 133312102131