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1312087316331 = 3111731641117701
BaseRepresentation
bin10011000101111110011…
…111111001011101101011
311122102201121202202001210
4103011332133321131223
5132444123323110311
62442433052444203
7163536514112601
oct23057637713553
94572647682053
101312087316331
114664a90a1920
1219235b479663
139696338151c
1447710a15871
15241e51923a6
hex1317e7f976b

1312087316331 has 64 divisors (see below), whose sum is σ = 2089212383232. Its totient is φ = 723148800000.

The previous prime is 1312087316311. The next prime is 1312087316333. The reversal of 1312087316331 is 1336137802131.

It is a happy number.

It is not a de Polignac number, because 1312087316331 - 222 = 1312083122027 is a prime.

It is a super-2 number, since 2×13120873163312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1312087316331.

It is not an unprimeable number, because it can be changed into a prime (1312087316333) 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, 11088781 + ... + 11206481.

It is an arithmetic number, because the mean of its divisors is an integer number (32643943488).

Almost surely, 21312087316331 is an apocalyptic number.

1312087316331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312087316331 is a deficient number, since it is larger than the sum of its proper divisors (777125066901).

1312087316331 is a wasteful number, since it uses less digits than its factorization.

1312087316331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118404.

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 1312087316331 in words is "one trillion, three hundred twelve billion, eighty-seven million, three hundred sixteen thousand, three hundred thirty-one".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 641 1023 1581 1923 5797 7051 10897 17391 19871 21153 32691 59613 117701 119867 218581 337807 353103 359601 655743 1013421 1294711 2000917 3648731 3715877 3884133 6002751 10946193 11147631 22010087 40136041 62028427 66030261 75446341 120408123 186085281 226339023 682312697 829909751 1282587797 2046938091 2338836571 2489729253 3847763391 7016509713 14108465767 25727202281 39760221707 42325397301 77181606843 119280665121 437362438777 1312087316331