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132111131313413 = 71311733078813079
BaseRepresentation
bin11110000010011110000101…
…000011011000010100000101
3122022202200220220000210100202
4132002132011003120110011
5114304002044104012123
61144551003232420245
736553466663612030
oct3602360503302405
9568680826023322
10132111131313413
113910501a55068a
12129980326a7685
13589404580bb75
14248a2da1a2017
1510417a8b3ca28
hex7827850d8505

132111131313413 has 64 divisors (see below), whose sum is σ = 153738692997120. Its totient is φ = 111197689574400.

The previous prime is 132111131313389. The next prime is 132111131313419. The reversal of 132111131313413 is 314313131111231.

It is a cyclic number.

It is not a de Polignac number, because 132111131313413 - 214 = 132111131297029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132111131313419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42907153808 + ... + 42907156886.

It is an arithmetic number, because the mean of its divisors is an integer number (2402167078080).

Almost surely, 2132111131313413 is an apocalyptic number.

It is an amenable number.

132111131313413 is a deficient number, since it is larger than the sum of its proper divisors (21627561683707).

132111131313413 is a wasteful number, since it uses less digits than its factorization.

132111131313413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578.

The product of its digits is 1944, while the sum is 29.

Adding to 132111131313413 its reverse (314313131111231), we get a palindrome (446424262424644).

The spelling of 132111131313413 in words is "one hundred thirty-two trillion, one hundred eleven billion, one hundred thirty-one million, three hundred thirteen thousand, four hundred thirteen".

Divisors: 1 7 131 173 307 881 917 1211 2149 3079 6167 21553 22663 40217 53111 115411 152413 158641 270467 281519 371777 403349 532667 807877 945253 1066891 1893269 2712599 2823443 3728669 6616771 6957541 18988193 19966103 35431177 46790791 48702787 69779377 123828143 139762721 163528769 248018239 327535537 355350469 469279627 488455639 832767893 866797001 1144701383 2487453283 3284957389 5829375251 6129593621 21422268739 42907155347 61475631137 109092593983 144068845489 149955881173 430329417959 763648157881 1008481918423 18873018759059 132111131313413