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1311023332131 = 3101211127916033
BaseRepresentation
bin10011000100111111000…
…101000111101100100011
311122022222110200202010120
4103010333011013230203
5132434433433112011
62442135323531323
7163501244312052
oct23047705075443
94568873622116
101311023332131
11466002546837
12192103089b43
1396823b00a86
144764d5b0399
1524181a72a06
hex1313f147b23

1311023332131 has 32 divisors (see below), whose sum is σ = 1775202385920. Its totient is φ = 860533632000.

The previous prime is 1311023332121. The next prime is 1311023332141. The reversal of 1311023332131 is 1312333201131.

It is an interprime number because it is at equal distance from previous prime (1311023332121) and next prime (1311023332141).

It is not a de Polignac number, because 1311023332131 - 26 = 1311023332067 is a prime.

It is a super-2 number, since 2×13110233321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311023332111) 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, 81762291 + ... + 81778323.

It is an arithmetic number, because the mean of its divisors is an integer number (55475074560).

Almost surely, 21311023332131 is an apocalyptic number.

1311023332131 is a deficient number, since it is larger than the sum of its proper divisors (464179053789).

1311023332131 is a wasteful number, since it uses less digits than its factorization.

1311023332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627.

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

Adding to 1311023332131 its reverse (1312333201131), we get a palindrome (2623356533262).

The spelling of 1311023332131 in words is "one trillion, three hundred eleven billion, twenty-three million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 101 211 303 633 1279 3837 16033 21311 48099 63933 129179 269869 387537 809607 1619333 3382963 4857999 10148889 20506207 27256769 61518621 81770307 341679263 1025037789 2071126907 4326809677 6213380721 12980429031 437007777377 1311023332131