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132301201331313 = 3273599975867237
BaseRepresentation
bin11110000101001111000110…
…000110111101010001110001
3122100102212112012022010020100
4132011033012012331101301
5114320110330020100223
61145214155520503013
736603306050243640
oct3605170606752161
9570385465263210
10132301201331313
1139178696080303
1212a08a3877aa69
1358a8c467b7591
1424955ab549357
1510466d0435043
hex7853c61bd471

132301201331313 has 48 divisors (see below), whose sum is σ = 219230051938560. Its totient is φ = 75314469817728.

The previous prime is 132301201331311. The next prime is 132301201331333. The reversal of 132301201331313 is 313133102103231.

132301201331313 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 12 + 0 + 1 + 331 + 313 = 666.

It is not a de Polignac number, because 132301201331313 - 21 = 132301201331311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132301201331311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19615531 + ... + 25482767.

It is an arithmetic number, because the mean of its divisors is an integer number (4567292748720).

Almost surely, 2132301201331313 is an apocalyptic number.

It is an amenable number.

132301201331313 is a deficient number, since it is larger than the sum of its proper divisors (86928850607247).

132301201331313 is a wasteful number, since it uses less digits than its factorization.

132301201331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868606 (or 5868603 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132301201331313 its reverse (313133102103231), we get a palindrome (445434303434544).

The spelling of 132301201331313 in words is "one hundred thirty-two trillion, three hundred one billion, two hundred one million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 359 997 1077 2513 2991 3231 6979 7539 8973 20937 22617 62811 357923 1073769 2505461 3221307 5867237 7516383 17601711 22549149 41070659 52805133 123211977 369635931 2106338083 5849635289 6319014249 14744366581 17548905867 18957042747 40947447023 44233099743 52646717601 122842341069 132699299229 368527023207 2100019068751 6300057206253 14700133481257 18900171618759 44100400443771 132301201331313