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1312313201331 = 311599152343591
BaseRepresentation
bin10011000110001011111…
…101100101001010110011
311122110022100210220000220
4103012023331211022303
5133000104134420311
62442511322144123
7163545226106466
oct23061375451263
94573270726026
101312313201331
11466604654640
12192403052043
139699b0cc7a2
1447732a152dd
1524209e11206
hex1318bf652b3

1312313201331 has 32 divisors (see below), whose sum is σ = 1913305190400. Its totient is φ = 793474000800.

The previous prime is 1312313201323. The next prime is 1312313201371. The reversal of 1312313201331 is 1331023132131.

It is not a de Polignac number, because 1312313201331 - 23 = 1312313201323 is a prime.

It is a super-2 number, since 2×13123132013312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312313201371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30083346 + ... + 30126936.

It is an arithmetic number, because the mean of its divisors is an integer number (59790787200).

Almost surely, 21312313201331 is an apocalyptic number.

1312313201331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312313201331 is a deficient number, since it is larger than the sum of its proper divisors (600991989069).

1312313201331 is a wasteful number, since it uses less digits than its factorization.

1312313201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45727.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1312313201331 its reverse (1331023132131), we get a palindrome (2643336333462).

The spelling of 1312313201331 in words is "one trillion, three hundred twelve billion, three hundred thirteen million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 599 1523 1797 4569 6589 16753 19767 43591 50259 130773 479501 912277 1438503 2736831 10035047 26111009 30105141 66389093 78333027 199167279 287221099 730280023 861663297 2190840069 39767066707 119301200121 437437733777 1312313201331