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131304403131 = 31129137204183
BaseRepresentation
bin111101001001001011…
…0100011000010111011
3110112220211101210022220
41322102112203002323
54122402411400011
6140153113015123
712325563003636
oct1722226430273
9415824353286
10131304403131
115075aa04550
12215456b44a3
13c4c71c19c5
1464d8814c1d
153637623506
hex1e925a30bb

131304403131 has 16 divisors (see below), whose sum is σ = 197574024960. Its totient is φ = 76834341920.

The previous prime is 131304403099. The next prime is 131304403141.

131304403131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 131304403131 - 25 = 131304403099 is a prime.

It is a super-3 number, since 3×1313044031313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131304403141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68601135 + ... + 68603048.

It is an arithmetic number, because the mean of its divisors is an integer number (12348376560).

Almost surely, 2131304403131 is an apocalyptic number.

131304403131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131304403131 is a deficient number, since it is larger than the sum of its proper divisors (66269621829).

131304403131 is a wasteful number, since it uses less digits than its factorization.

131304403131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137204226.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 131304 and 403131, that added together give a palindrome (534435).

The spelling of 131304403131 in words is "one hundred thirty-one billion, three hundred four million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 957 137204183 411612549 1509246013 3978921307 4527738039 11936763921 43768134377 131304403131