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131311101211123 = 1613423119240841
BaseRepresentation
bin11101110110110100111111…
…100010101111000111110011
3122012221012220102020200210111
4131312310333202233013303
5114202400113402223443
61143135253115042151
736441625333134151
oct3566647742570763
9565835812220714
10131311101211123
11389267a83a6669
1212888b7a140357
135836778552ab2
14245d6c3c423d1
15102aa82da169d
hex776d3f8af1f3

131311101211123 has 8 divisors (see below), whose sum is σ = 131423570757216. Its totient is φ = 131198670158400.

The previous prime is 131311101211109. The next prime is 131311101211127. The reversal of 131311101211123 is 321112101113131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131311101211123 - 217 = 131311101080051 is a prime.

It is a super-2 number, since 2×1313111012111232 (a number of 29 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 = 131311101211094 and 131311101211103.

It is not an unprimeable number, because it can be changed into a prime (131311101211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2795818 + ... + 16445023.

It is an arithmetic number, because the mean of its divisors is an integer number (16427946344652).

Almost surely, 2131311101211123 is an apocalyptic number.

131311101211123 is a deficient number, since it is larger than the sum of its proper divisors (112469546093).

131311101211123 is a wasteful number, since it uses less digits than its factorization.

131311101211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246685.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 131311101211123 its reverse (321112101113131), we get a palindrome (452423202324254).

The spelling of 131311101211123 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred one million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 1613 4231 6824603 19240841 31035476533 81407998271 131311101211123