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313114040401331 = 13711632081197219
BaseRepresentation
bin100011100110001101000101…
…1001001101111110110110011
31112001122102001211120202011102
41013030122023021233312303
5312020030023320320311
63025534334314235015
7122644512545614601
oct10714321311576663
91461572054522142
10313114040401331
1190849a11a38684
122b14b722725a6b
13105936b1685c40
145746b2c4b0871
15262ec34b9443b
hex11cc68b26fdb3

313114040401331 has 16 divisors (see below), whose sum is σ = 344046874832640. Its totient is φ = 283209317425440.

The previous prime is 313114040401319. The next prime is 313114040401367. The reversal of 313114040401331 is 133104040411313.

It is a cyclic number.

It is not a de Polignac number, because 313114040401331 - 246 = 242745296223667 is a prime.

It is a super-2 number, since 2×3131140404013312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313114040401294 and 313114040401303.

It is not an unprimeable number, because it can be changed into a prime (313114040401381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040448161 + ... + 1040749058.

It is an arithmetic number, because the mean of its divisors is an integer number (21502929677040).

Almost surely, 2313114040401331 is an apocalyptic number.

313114040401331 is a deficient number, since it is larger than the sum of its proper divisors (30932834431309).

313114040401331 is a wasteful number, since it uses less digits than its factorization.

313114040401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081197466.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 313114040401331 its reverse (133104040411313), we get a palindrome (446218080812644).

The spelling of 313114040401331 in words is "three hundred thirteen trillion, one hundred fourteen billion, forty million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 13 71 163 923 2119 11573 150449 2081197219 27055563847 147765002549 339235146697 1920945033137 4410056907061 24085695415487 313114040401331