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12311220121213 = 134123097973961
BaseRepresentation
bin1011001100100110110111…
…1001101110111001111101
31121120221102002122100022111
42303021231321232321331
53103201334322334323
642103410233214021
72410312340260456
oct263115571567175
947527362570274
1012311220121213
113a17182895252
121469bb6861311
136b3c34c26770
14307c1ad3012d
1516539a64ec0d
hexb326de6ee7d

12311220121213 has 8 divisors (see below), whose sum is σ = 13581608689656. Its totient is φ = 11087027500800.

The previous prime is 12311220121199. The next prime is 12311220121229. The reversal of 12311220121213 is 31212102211321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68310095044 + 12242910026169 = 261362^2 + 3498987^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12311220121213 - 225 = 12311186566781 is a prime.

It is a super-2 number, since 2×123112201212132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311220121253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11548986448 + ... + 11548987513.

It is an arithmetic number, because the mean of its divisors is an integer number (1697701086207).

Almost surely, 212311220121213 is an apocalyptic number.

12311220121213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12311220121213 is a deficient number, since it is larger than the sum of its proper divisors (1270388568443).

12311220121213 is a wasteful number, since it uses less digits than its factorization.

12311220121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097974015.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12311220121213 its reverse (31212102211321), we get a palindrome (43523322332534).

The spelling of 12311220121213 in words is "twelve trillion, three hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 13 41 533 23097973961 300273661493 947016932401 12311220121213