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131330032113 = 373294400993
BaseRepresentation
bin111101001001111100…
…0010100000111110001
3110112222121121212200110
41322103320110013301
54122430442011423
6140155430211533
712326323566000
oct1722370240761
9415877555613
10131330032113
1150773419a25
12215521b3ba9
13c4cc5c6297
1464dbda6c37
1536399d7193
hex1e93e141f1

131330032113 has 32 divisors (see below), whose sum is σ = 211247712000. Its totient is φ = 72457932288.

The previous prime is 131330032109. The next prime is 131330032117. The reversal of 131330032113 is 311230033131.

It is an interprime number because it is at equal distance from previous prime (131330032109) and next prime (131330032117).

It is not a de Polignac number, because 131330032113 - 22 = 131330032109 is a prime.

It is a super-2 number, since 2×1313300321132 (a number of 23 digits) contains 22 as substring.

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 131330032113.

It is not an unprimeable number, because it can be changed into a prime (131330032117) 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 31 ways as a sum of consecutive naturals, for example, 2170656 + ... + 2230337.

It is an arithmetic number, because the mean of its divisors is an integer number (6601491000).

Almost surely, 2131330032113 is an apocalyptic number.

It is an amenable number.

131330032113 is a deficient number, since it is larger than the sum of its proper divisors (79917679887).

131330032113 is an equidigital number, since it uses as much as digits as its factorization.

131330032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401046 (or 4401032 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131330032113 its reverse (311230033131), we get a palindrome (442560065244).

The spelling of 131330032113 in words is "one hundred thirty-one billion, three hundred thirty million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 21 29 49 87 147 203 343 609 1029 1421 4263 9947 29841 4400993 13202979 30806951 92420853 127628797 215648657 382886391 646945971 893401579 1509540599 2680204737 4528621797 6253811053 18761433159 43776677371 131330032113