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1333002121113 = 313311975596781
BaseRepresentation
bin10011011001011101000…
…111100010111110011001
311201102201012122220120010
4103121131013202332121
5133314442020333423
62500212301352133
7165210015036045
oct23313507427631
94642635586503
101333002121113
11474360a45253
12196417868649
1398917437360
14487365cd025
1524a1b3b1693
hex1365d1e2f99

1333002121113 has 32 divisors (see below), whose sum is σ = 1985827802112. Its totient is φ = 789817593600.

The previous prime is 1333002121097. The next prime is 1333002121123. The reversal of 1333002121113 is 3111212003331.

It is a happy number.

It is not a de Polignac number, because 1333002121113 - 24 = 1333002121097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1333002121113.

It is not an unprimeable number, because it can be changed into a prime (1333002121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2560218 + ... + 3036563.

It is an arithmetic number, because the mean of its divisors is an integer number (62057118816).

Almost surely, 21333002121113 is an apocalyptic number.

1333002121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1333002121113 is a deficient number, since it is larger than the sum of its proper divisors (652825680999).

1333002121113 is a wasteful number, since it uses less digits than its factorization.

1333002121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597025.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1333002121113 its reverse (3111212003331), we get a palindrome (4444214124444).

The spelling of 1333002121113 in words is "one trillion, three hundred thirty-three billion, two million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 13 31 39 93 197 403 591 1209 2561 6107 7683 18321 79391 238173 5596781 16790343 72758153 173500211 218274459 520500633 1102565857 2255502743 3307697571 6766508229 14333356141 34179541567 43000068423 102538624701 444334040371 1333002121113