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131311130312999 = 71341139253198711
BaseRepresentation
bin11101110110110101000001…
…010001110000000100100111
3122012221012222110000020001202
4131312311001101300010213
5114202400143330003444
61143135300034513115
736441626135402240
oct3566650121600447
9565835873006052
10131311130312999
11389268128732aa
1212888b87a3579b
1358367815a2040
14245d6c7a59cc7
15102aa856ee34e
hex776d41470127

131311130312999 has 32 divisors (see below), whose sum is σ = 166746543774720. Its totient is φ = 100631295302400.

The previous prime is 131311130312959. The next prime is 131311130313031. The reversal of 131311130312999 is 999213031113131.

It is a cyclic number.

It is not a de Polignac number, because 131311130312999 - 28 = 131311130312743 is a prime.

It is a super-2 number, since 2×1313111303129992 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311130312909) 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, 126080747 + ... + 127117964.

It is an arithmetic number, because the mean of its divisors is an integer number (5210829492960).

Almost surely, 2131311130312999 is an apocalyptic number.

131311130312999 is a deficient number, since it is larger than the sum of its proper divisors (35435413461721).

131311130312999 is a wasteful number, since it uses less digits than its factorization.

131311130312999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253198911.

The product of its (nonzero) digits is 118098, while the sum is 47.

The spelling of 131311130312999 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, nine hundred ninety-nine".

Divisors: 1 7 13 41 91 139 287 533 973 1807 3731 5699 12649 39893 74087 518609 253198711 1772390977 3291583243 10381147151 23041082701 35194620829 72668030057 134954912963 246362345803 457530070777 944684390741 1442979453989 3202710495439 10100856177923 18758732901857 131311130312999