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121312331331 = 3295923971009
BaseRepresentation
bin111000011111011000…
…1110100011001000011
3102121010110112221122120
41300332301310121003
53441421424100311
6131421412135323
711523142542162
oct1607661643103
9377113487576
10121312331331
11474a2715074
121b617307543
13b59404c099
145c2b7573d9
1532502ce706
hex1c3ec74643

121312331331 has 48 divisors (see below), whose sum is σ = 170809341600. Its totient is φ = 76493362176.

The previous prime is 121312331269. The next prime is 121312331333. The reversal of 121312331331 is 133133213121.

It is not a de Polignac number, because 121312331331 - 26 = 121312331267 is a prime.

It is a super-2 number, since 2×1213123313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121312331333) 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 47 ways as a sum of consecutive naturals, for example, 120229755 + ... + 120230763.

It is an arithmetic number, because the mean of its divisors is an integer number (3558527950).

Almost surely, 2121312331331 is an apocalyptic number.

121312331331 is a deficient number, since it is larger than the sum of its proper divisors (49497010269).

121312331331 is a wasteful number, since it uses less digits than its factorization.

121312331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1497 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 121312331331 its reverse (133133213121), we get a palindrome (254445544452).

The spelling of 121312331331 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 29 59 87 177 397 1009 1191 1711 3027 3481 5133 10443 11513 23423 29261 34539 59531 70269 87783 100949 178593 302847 400573 679267 1201719 1381957 1726399 2037801 3512329 4145871 5179197 10536987 11616617 23633807 34849851 40076753 70901421 101857541 120230259 305572623 685380403 1394394613 2056141209 4183183839 40437443777 121312331331