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13331330331000 = 23353111912115077
BaseRepresentation
bin1100000111111111000100…
…1101010111000101111000
31202012110111022222021110020
43001333301031113011320
53221410031031043000
644204154551250440
72544104536060653
oct301776115270570
952173438867406
1013331330331000
11427a870474430
1215b384b679a20
137591a6676906
1434135014a89a
15181ba2651ba0
hexc1ff1357178

13331330331000 has 256 divisors, whose sum is σ = 45612587704320. Its totient is φ = 3214915520000.

The previous prime is 13331330330999. The next prime is 13331330331001. The reversal of 13331330331000 is 13303313331.

It is an interprime number because it is at equal distance from previous prime (13331330330999) and next prime (13331330331001).

It is a super-2 number, since 2×133313303310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331330331001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5245462 + ... + 7360538.

It is an arithmetic number, because the mean of its divisors is an integer number (178174170720).

Almost surely, 213331330331000 is an apocalyptic number.

13331330331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331330331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806293852160).

13331330331000 is an abundant number, since it is smaller than the sum of its proper divisors (32281257373320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13331330331000 is a wasteful number, since it uses less digits than its factorization.

13331330331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115303 (or 2115289 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 13331330331000 its reverse (13303313331), we get a palindrome (13344633644331).

The spelling of 13331330331000 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty million, three hundred thirty-one thousand".