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121331320331 = 1323405790369
BaseRepresentation
bin111000011111111101…
…0010000011000001011
3102121011210021200122212
41300333322100120023
53441441304222311
6131423331135335
711523463130534
oct1607772203013
9377153250585
10121331320331
1147502404861
121b62174454b
13b597c6a290
145c3009b68b
153251cd0c8b
hex1c3fe9060b

121331320331 has 8 divisors (see below), whose sum is σ = 136345564320. Its totient is φ = 107128657152.

The previous prime is 121331320321. The next prime is 121331320349. The reversal of 121331320331 is 133023133121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121331320331 is a prime.

It is a super-2 number, since 2×1213313203312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121331320297 and 121331320306.

It is not an unprimeable number, because it can be changed into a prime (121331320321) 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 7 ways as a sum of consecutive naturals, for example, 202894886 + ... + 202895483.

It is an arithmetic number, because the mean of its divisors is an integer number (17043195540).

Almost surely, 2121331320331 is an apocalyptic number.

121331320331 is a deficient number, since it is larger than the sum of its proper divisors (15014243989).

121331320331 is a wasteful number, since it uses less digits than its factorization.

121331320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405790405.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 121331320331 its reverse (133023133121), we get a palindrome (254354453452).

The spelling of 121331320331 in words is "one hundred twenty-one billion, three hundred thirty-one million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 13 23 299 405790369 5275274797 9333178487 121331320331