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132313121313231 = 3376607118041351
BaseRepresentation
bin11110000101011010001100…
…100110000101000111001111
3122100111000021220211221102010
4132011122030212011013033
5114320304233024010411
61145223450411232303
736604210330360545
oct3605321446050717
9570430256757363
10132313121313231
1139182752649131
1212a0b204748693
1358aa0c61b3711
142495dbc697d95
151046b7bb4b7a6
hex78568c9851cf

132313121313231 has 16 divisors (see below), whose sum is σ = 181188287820288. Its totient is φ = 85823423604000.

The previous prime is 132313121313223. The next prime is 132313121313239.

132313121313231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (132313121313223) and next prime (132313121313239).

It is not a de Polignac number, because 132313121313231 - 23 = 132313121313223 is a prime.

It is a super-2 number, since 2×1323131213132312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313121313239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686795 + ... + 16354556.

It is an arithmetic number, because the mean of its divisors is an integer number (11324267988768).

Almost surely, 2132313121313231 is an apocalyptic number.

132313121313231 is a deficient number, since it is larger than the sum of its proper divisors (48875166507057).

132313121313231 is a wasteful number, since it uses less digits than its factorization.

132313121313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107462.

The product of its digits is 5832, while the sum is 30.

The spelling of 132313121313231 in words is "one hundred thirty-two trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 37 111 66071 198213 2444627 7333881 18041351 54124053 667529987 2002589961 1192010101921 3576030305763 44104373771077 132313121313231