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132413313141031 = 13625715313106307
BaseRepresentation
bin11110000110110111100000…
…011111100100100100100111
3122100211120220110110010221011
4132012313200133210210213
5114323424431131003111
61145341500350003051
736614355224016016
oct3606674037444447
9570746813403834
10132413313141031
11392111972952aa
1212a267067a6487
1358b66a2678820
14249aba4db0a7d
151049592b29021
hex786de07e4927

132413313141031 has 16 divisors (see below), whose sum is σ = 142632398379744. Its totient is φ = 122199008937984.

The previous prime is 132413313141017. The next prime is 132413313141047. The reversal of 132413313141031 is 130141313314231.

It is a cyclic number.

It is not a de Polignac number, because 132413313141031 - 27 = 132413313140903 is a prime.

It is a super-2 number, since 2×1324133131410312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132413313140984 and 132413313141002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132413313141001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245521580 + ... + 1245627886.

It is an arithmetic number, because the mean of its divisors is an integer number (8914524898734).

Almost surely, 2132413313141031 is an apocalyptic number.

132413313141031 is a deficient number, since it is larger than the sum of its proper divisors (10219085238713).

132413313141031 is a wasteful number, since it uses less digits than its factorization.

132413313141031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127890.

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 132413313141031 its reverse (130141313314231), we get a palindrome (262554626455262).

The spelling of 132413313141031 in words is "one hundred thirty-two trillion, four hundred thirteen billion, three hundred thirteen million, one hundred forty-one thousand, thirty-one".

Divisors: 1 13 6257 15313 81341 106307 199069 1381991 95813441 665162899 1245574733 1627879091 8647117687 21162428183 10185639472387 132413313141031