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132000311033013 = 341127137569108401
BaseRepresentation
bin11110000000110110110111…
…101001100011110010110101
3122022101002212122010020211010
4132000312313221203302311
5114300143114111024023
61144424034501302433
736542464522020363
oct3600666751436265
9568332778106733
10132000311033013
1139072021378795
121297a665104a19
1358867643ab157
142484bc6094633
15103d96ea14093
hex780db7a63cb5

132000311033013 has 64 divisors (see below), whose sum is σ = 183362485985280. Its totient is φ = 84406726656000.

The previous prime is 132000311032957. The next prime is 132000311033069. The reversal of 132000311033013 is 310330113000231.

It is an interprime number because it is at equal distance from previous prime (132000311032957) and next prime (132000311033069).

It is not a de Polignac number, because 132000311033013 - 28 = 132000311032757 is a prime.

It is a super-2 number, since 2×1320003110330132 (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 (132000311023013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217649613 + ... + 1217758013.

It is an arithmetic number, because the mean of its divisors is an integer number (2865038843520).

Almost surely, 2132000311033013 is an apocalyptic number.

It is an amenable number.

132000311033013 is a deficient number, since it is larger than the sum of its proper divisors (51362174952267).

132000311033013 is a wasteful number, since it uses less digits than its factorization.

132000311033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109278.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 132000311033013 its reverse (310330113000231), we get a palindrome (442330424033244).

The spelling of 132000311033013 in words is "one hundred thirty-two trillion, three hundred eleven million, thirty-three thousand, thirteen".

Divisors: 1 3 41 123 127 137 381 411 569 1707 5207 5617 15621 16851 17399 23329 52197 69987 72263 77953 108401 216789 233859 325203 713359 2140077 2962783 3196073 4444441 8888349 9588219 9900031 13333323 13766927 14850937 29700093 41300781 44552811 61680169 185040507 405901271 564444007 608888417 1217703813 1693332021 1826665251 1886068999 2528886929 5658206997 7586660787 7833381463 8450183153 23500144389 25350549459 77328828959 231986486877 321168639983 346457509273 963505919949 1039372527819 1073173260431 3219519781293 44000103677671 132000311033013