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1334002020013 = 132374327717911
BaseRepresentation
bin10011011010011000101…
…101110110111010101101
311201112021220011000222201
4103122120231312322231
5133324014004120023
62500455420541501
7165243546036145
oct23323055667255
94645256130881
101334002020013
114748243aa083
121966566b1891
1398a4663a500
14487cd311925
1524a79072bad
hex13698b76ead

1334002020013 has 48 divisors (see below), whose sum is σ = 1523618507136. Its totient is φ = 1165953035520.

The previous prime is 1334002019971. The next prime is 1334002020017. The reversal of 1334002020013 is 3100202004331.

It is not a de Polignac number, because 1334002020013 - 213 = 1334002011821 is a prime.

It is a super-2 number, since 2×13340020200132 (a number of 25 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 (1334002020017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74470528 + ... + 74488438.

It is an arithmetic number, because the mean of its divisors is an integer number (31742052232).

Almost surely, 21334002020013 is an apocalyptic number.

1334002020013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1334002020013 is a deficient number, since it is larger than the sum of its proper divisors (189616487123).

1334002020013 is a wasteful number, since it uses less digits than its factorization.

1334002020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18294 (or 18281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1334002020013 its reverse (3100202004331), we get a palindrome (4434204024344).

The spelling of 1334002020013 in words is "one trillion, three hundred thirty-four billion, two million, twenty thousand, thirteen".

Divisors: 1 13 37 43 169 277 481 559 1591 3601 6253 7267 10249 11911 17911 20683 46813 133237 154843 232843 268879 440707 662707 770173 1732081 2012959 3026959 4961347 5729191 8615191 10012249 28496401 64497511 74479483 111997483 130159237 183569839 213337921 370453213 838467643 2386407907 2773392973 4815891769 7893503077 31023302791 36054108649 102615540001 1334002020013