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131210011310313 = 31337960139147607
BaseRepresentation
bin11101110101010110110110…
…000111010111100011101001
3122012120112222021202122201010
4131311112312013113203221
5114144221100343412223
61143021014055414133
736431416253144235
oct3565266607274351
9565515867678633
10131210011310313
11388979428239a1
1212871467384349
13582a087cba440
1424588541515c5
151028118128393
hex7755b61d78e9

131210011310313 has 32 divisors (see below), whose sum is σ = 188905648153600. Its totient is φ = 80529691185216.

The previous prime is 131210011310303. The next prime is 131210011310321. The reversal of 131210011310313 is 313013110012131.

It is not a de Polignac number, because 131210011310313 - 212 = 131210011306217 is a prime.

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 131210011310313.

It is not an unprimeable number, because it can be changed into a prime (131210011310303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888840756 + ... + 888988362.

It is an arithmetic number, because the mean of its divisors is an integer number (5903301504800).

Almost surely, 2131210011310313 is an apocalyptic number.

131210011310313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131210011310313 is a deficient number, since it is larger than the sum of its proper divisors (57695636843287).

131210011310313 is a wasteful number, since it uses less digits than its factorization.

131210011310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208141.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131210011310313 its reverse (313013110012131), we get a palindrome (444223121322444).

The spelling of 131210011310313 in words is "one hundred thirty-one trillion, two hundred ten billion, eleven million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 3 13 39 379 1137 4927 14781 60139 147607 180417 442821 781807 1918891 2345421 5756673 22792681 55943053 68378043 167829159 296304853 727259689 888914559 2181779067 8876937373 26630812119 115400185849 346200557547 3364359264367 10093077793101 43736670436771 131210011310313