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131314013103 = 3713481003711
BaseRepresentation
bin111101001001011101…
…1001101001110101111
3110112221111111000201210
41322102323031032233
54122412341404403
6140154055005503
712326040460230
oct1722273151657
9415844430653
10131314013103
1150765378679
1221548969893
13c4c91a7b90
1464d9bd7087
1536383c0b03
hex1e92ecd3af

131314013103 has 16 divisors (see below), whose sum is σ = 215489662976. Its totient is φ = 69264534240.

The previous prime is 131314013099. The next prime is 131314013107. The reversal of 131314013103 is 301310413131.

It is an interprime number because it is at equal distance from previous prime (131314013099) and next prime (131314013107).

It is not a de Polignac number, because 131314013103 - 22 = 131314013099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131314013103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131314013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240501583 + ... + 240502128.

It is an arithmetic number, because the mean of its divisors is an integer number (13468103936).

Almost surely, 2131314013103 is an apocalyptic number.

131314013103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131314013103 is a deficient number, since it is larger than the sum of its proper divisors (84175649873).

131314013103 is a wasteful number, since it uses less digits than its factorization.

131314013103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481003734.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131314013103 its reverse (301310413131), we get a palindrome (432624426234).

The spelling of 131314013103 in words is "one hundred thirty-one billion, three hundred fourteen million, thirteen thousand, one hundred three".

Divisors: 1 3 7 13 21 39 91 273 481003711 1443011133 3367025977 6253048243 10101077931 18759144729 43771337701 131314013103