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131003210210313 = 37148926831561519
BaseRepresentation
bin11101110010010110001111…
…110011110001110000001001
3122011211210011222000021221010
4131302112033303301300021
5114132324033303212223
61142342013254234133
736410445446614320
oct3562261763616011
9564753158007833
10131003210210313
1138818170a0a6a1
1212839372055949
13581371b955a4c
14244c836acb0b7
151022a62a78393
hex77258fcf1c09

131003210210313 has 32 divisors (see below), whose sum is σ = 199832586342400. Its totient is φ = 74780772224256.

The previous prime is 131003210210311. The next prime is 131003210210321. The reversal of 131003210210313 is 313012012300131.

It is a happy number.

It is not a de Polignac number, because 131003210210313 - 21 = 131003210210311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 131003210210313.

It is not an unprimeable number, because it can be changed into a prime (131003210210311) 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, 83113968 + ... + 84675486.

It is an arithmetic number, because the mean of its divisors is an integer number (6244768323200).

Almost surely, 2131003210210313 is an apocalyptic number.

It is an amenable number.

131003210210313 is a deficient number, since it is larger than the sum of its proper divisors (68829376132087).

131003210210313 is a wasteful number, since it uses less digits than its factorization.

131003210210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565701.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131003210210313 its reverse (313012012300131), we get a palindrome (444015222510444).

The spelling of 131003210210313 in words is "one hundred thirty-one trillion, three billion, two hundred ten million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 3 7 21 1489 2683 4467 8049 10423 18781 31269 56343 1561519 3994987 4684557 10930633 11984961 27964909 32791899 83894727 2325101791 4189555477 6975305373 12568666431 16275712537 29326888339 48827137611 87980665017 6238248105253 18714744315759 43667736736771 131003210210313