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121311332203101 = 3303341133305787
BaseRepresentation
bin11011100101010011111110…
…110111001111101001011101
3120220112020202022200001101120
4123211103332313033221131
5111400031102020444401
61110001353501001153
734360311621043545
oct3345237667175135
9526466668601346
10121311332203101
11357209354a3307
1211732b478531b9
13528c7c0213221
1421d56dd682325
15e058bd38a836
hex6e54fedcfa5d

121311332203101 has 8 divisors (see below), whose sum is σ = 161748977373984. Its totient is φ = 80873954250480.

The previous prime is 121311332203099. The next prime is 121311332203129. The reversal of 121311332203101 is 101302233113121.

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

It is not a de Polignac number, because 121311332203101 - 21 = 121311332203099 is a prime.

It is a super-3 number, since 3×1213113322031013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311332223101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65742871 + ... + 67562916.

It is an arithmetic number, because the mean of its divisors is an integer number (20218622171748).

Almost surely, 2121311332203101 is an apocalyptic number.

It is an amenable number.

121311332203101 is a deficient number, since it is larger than the sum of its proper divisors (40437645170883).

121311332203101 is a wasteful number, since it uses less digits than its factorization.

121311332203101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133609131.

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

Adding to 121311332203101 its reverse (101302233113121), we get a palindrome (222613565316222).

The spelling of 121311332203101 in words is "one hundred twenty-one trillion, three hundred eleven billion, three hundred thirty-two million, two hundred three thousand, one hundred one".

Divisors: 1 3 303341 910023 133305787 399917361 40437110734367 121311332203101