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1313012103131 = 89121712122387
BaseRepresentation
bin10011000110110101100…
…111101011011111011011
311122112010001220210001202
4103012311213223133123
5133003022044300011
62443104530104415
7163601443505201
oct23066547533733
94575101823052
101313012103131
11466933113933
1219257911b10b
1396a7cb46051
144779b785071
152424b46823b
hex131b59eb7db

1313012103131 has 8 divisors (see below), whose sum is σ = 1328856172560. Its totient is φ = 1297192281088.

The previous prime is 1313012103083. The next prime is 1313012103187.

1313012103131 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 1313012103131 - 234 = 1295832233947 is a prime.

It is a super-2 number, since 2×13130121031312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313012103631) 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, 5952881 + ... + 6169506.

It is an arithmetic number, because the mean of its divisors is an integer number (166107021570).

Almost surely, 21313012103131 is an apocalyptic number.

1313012103131 is a deficient number, since it is larger than the sum of its proper divisors (15844069429).

1313012103131 is a wasteful number, since it uses less digits than its factorization.

1313012103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123693.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 1313012103131 in words is "one trillion, three hundred thirteen billion, twelve million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 89 1217 108313 12122387 1078892443 14752944979 1313012103131