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131020140102213 = 32316726358773651
BaseRepresentation
bin11101110010100110000000…
…111010001100001001000101
3122011220101212211120220121110
4131302212000322030021011
5114133113221331232323
61142353453232435233
736411615132411615
oct3562460072141105
9564811784526543
10131020140102213
1138824369443a9a
12128406b79a8b19
1358151b927036b
14244d5a135aa45
151023204002793
hex772980e8c245

131020140102213 has 64 divisors (see below), whose sum is σ = 184393799073792. Its totient is φ = 82590942667200.

The previous prime is 131020140102157. The next prime is 131020140102239. The reversal of 131020140102213 is 312201041020131.

It is not a de Polignac number, because 131020140102213 - 26 = 131020140102149 is a prime.

It is a super-2 number, since 2×1310201401022132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131020140102213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020140102913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778895438 + ... + 1778969088.

It is an arithmetic number, because the mean of its divisors is an integer number (2881153110528).

Almost surely, 2131020140102213 is an apocalyptic number.

It is an amenable number.

131020140102213 is a deficient number, since it is larger than the sum of its proper divisors (53373658971579).

131020140102213 is a wasteful number, since it uses less digits than its factorization.

131020140102213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74694.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131020140102213 its reverse (312201041020131), we get a palindrome (443221181122344).

The spelling of 131020140102213 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty million, one hundred two thousand, two hundred thirteen".

Divisors: 1 3 23 69 167 263 501 587 789 1761 3841 6049 11523 13501 18147 40503 43921 73651 98029 131763 154381 220953 294087 463143 1010183 1693973 2254667 3030549 3550763 5081919 6764001 10652289 12299717 19370213 25781627 36899151 43233137 58110639 77344881 129699411 282893491 445514899 592977421 848680473 994362151 1336544697 1778932263 2983086453 3234825571 7219933879 9704476713 11370315031 21659801637 34110945093 74400988133 166058479217 223202964399 261517245713 498175437651 784551737139 1898842610177 5696527830531 43673380034071 131020140102213