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123313110001131 = 33173113160740383
BaseRepresentation
bin11100000010011100010010…
…000111100010010111101011
3121011121121200122202101210010
4130002130102013202113223
5112130330222130014011
61114133132150223003
734655035551426351
oct3402342207422753
9534547618671703
10123313110001131
1136322883914066
12119b6aa7054a63
1353a64b7b92b9b
14226455a2a97d1
15e3c9cc4881a6
hex7027121e25eb

123313110001131 has 32 divisors (see below), whose sum is σ = 173568752566272. Its totient is φ = 77772626426880.

The previous prime is 123313110001129. The next prime is 123313110001163. The reversal of 123313110001131 is 131100011313321.

It is not a de Polignac number, because 123313110001131 - 21 = 123313110001129 is a prime.

It is a super-2 number, since 2×1233131100011312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123313110001098 and 123313110001107.

It is not an unprimeable number, because it can be changed into a prime (123313110001171) 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, 79603035 + ... + 81137348.

It is an arithmetic number, because the mean of its divisors is an integer number (5424023517696).

Almost surely, 2123313110001131 is an apocalyptic number.

123313110001131 is a deficient number, since it is larger than the sum of its proper divisors (50255642565141).

123313110001131 is a wasteful number, since it uses less digits than its factorization.

123313110001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160740603.

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

Adding to 123313110001131 its reverse (131100011313321), we get a palindrome (254413121314452).

The spelling of 123313110001131 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred ten million, one thousand, one hundred thirty-one".

Divisors: 1 3 31 73 93 113 219 339 2263 3503 6789 8249 10509 24747 255719 767157 160740383 482221149 4982951873 11734047959 14948855619 18163663279 35202143877 54490989837 363755486729 563073561649 1091266460187 1325947419367 1689220684947 3977842258101 41104370000377 123313110001131