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123131021321013 = 31923202946289527
BaseRepresentation
bin11011111111110010101100…
…110010010110001100110101
3121010222012200120210001001120
4123333302230302112030311
5112114334312424233023
61113513335454014153
734635631331250006
oct3377625462261465
9533865616701046
10123131021321013
1136262633575672
1211987749aa7359
1353922895c5054
142259804d2d1ad
15e37dc17018e3
hex6ffcacc96335

123131021321013 has 32 divisors (see below), whose sum is σ = 180418064332800. Its totient is φ = 74349125712576.

The previous prime is 123131021320987. The next prime is 123131021321017. The reversal of 123131021321013 is 310123120131321.

It is not a de Polignac number, because 123131021321013 - 28 = 123131021320757 is a prime.

It is a super-2 number, since 2×1231310213210132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131021321017) 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, 20484745 + ... + 25804782.

It is an arithmetic number, because the mean of its divisors is an integer number (5638064510400).

Almost surely, 2123131021321013 is an apocalyptic number.

It is an amenable number.

123131021321013 is a deficient number, since it is larger than the sum of its proper divisors (57287043011787).

123131021321013 is a wasteful number, since it uses less digits than its factorization.

123131021321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46291601.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 123131021321013 its reverse (310123120131321), we get a palindrome (433254141452334).

The spelling of 123131021321013 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, twenty-one million, three hundred twenty-one thousand, thirteen".

Divisors: 1 3 19 23 57 69 437 1311 2029 6087 38551 46667 115653 140001 886673 2660019 46289527 138868581 879501013 1064659121 2638503039 3193977363 20228523299 60685569897 93921450283 281764350849 1784507555377 2160193356509 5353522666131 6480580069527 41043673773671 123131021321013