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1313012213031 = 319711392334107
BaseRepresentation
bin10011000110110101101…
…000000110010100100111
311122112010002010100211010
4103012311220012110213
5133003022111304111
62443104532313303
7163601444443461
oct23066550062447
94575102110733
101313012213031
11466933189462
12192579172833
1396a7cb8408c
144779b7b3131
152424b48aaa6
hex131b5a06527

1313012213031 has 32 divisors (see below), whose sum is σ = 1882224691200. Its totient is φ = 811708702560.

The previous prime is 1313012213011. The next prime is 1313012213047. The reversal of 1313012213031 is 1303122103131.

It is a happy number.

It is not a de Polignac number, because 1313012213031 - 222 = 1313008018727 is a prime.

It is a super-2 number, since 2×13130122130312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313012212989 and 1313012213007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313012213011) 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, 604521 + ... + 1729586.

It is an arithmetic number, because the mean of its divisors is an integer number (58819521600).

Almost surely, 21313012213031 is an apocalyptic number.

1313012213031 is a deficient number, since it is larger than the sum of its proper divisors (569212478169).

1313012213031 is a wasteful number, since it uses less digits than its factorization.

1313012213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334339.

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

Adding to 1313012213031 its reverse (1303122103131), we get a palindrome (2616134316162).

The spelling of 1313012213031 in words is "one trillion, three hundred thirteen billion, twelve million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 19 57 71 139 213 417 1349 2641 4047 7923 9869 29607 187511 562533 2334107 7002321 44348033 133044099 165721597 324440873 497164791 973322619 3148710343 6164376587 9446131029 18493129761 23035301983 69105905949 437670737677 1313012213031