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131233332131 = 1143492743229
BaseRepresentation
bin111101000111000011…
…1011011101110100011
3110112201212200000020122
41322032013123232203
54122231213112011
6140142053430455
712324040626566
oct1721607335643
9415655600218
10131233332131
1150723881890
122152593b42b
13c4b5569865
1464cd1d44dd
1536312853db
hex1e8e1dbba3

131233332131 has 8 divisors (see below), whose sum is σ = 143196606000. Its totient is φ = 119275553440.

The previous prime is 131233332103. The next prime is 131233332149.

131233332131 is nontrivially palindromic in base 10.

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 131233332131 - 26 = 131233332067 is a prime.

It is a super-2 number, since 2×1312333321312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131233332131.

It is not an unprimeable number, because it can be changed into a prime (131233332431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1323776 + ... + 1419453.

It is an arithmetic number, because the mean of its divisors is an integer number (17899575750).

Almost surely, 2131233332131 is an apocalyptic number.

131233332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131233332131 is a deficient number, since it is larger than the sum of its proper divisors (11963273869).

131233332131 is a wasteful number, since it uses less digits than its factorization.

131233332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747589.

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 131233 and 332131, that added together give a palindrome (463364).

The spelling of 131233332131 in words is "one hundred thirty-one billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 4349 47839 2743229 30175519 11930302921 131233332131