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13032303131003 = 132326133439293
BaseRepresentation
bin1011110110100101000111…
…0011000111100101111011
31201010212122121112121102212
42331221101303013211323
53202010124100143003
643414542444445335
72513360422602032
oct275512163074573
951125577477385
1013032303131003
114174a72403182
1215658b7b4984b
13736c30250810
14330aa42b5719
1517900059edd8
hexbda51cc797b

13032303131003 has 48 divisors (see below), whose sum is σ = 14918109596544. Its totient is φ = 11313543732480.

The previous prime is 13032303130991. The next prime is 13032303131021. The reversal of 13032303131003 is 30013130323031.

It is not a de Polignac number, because 13032303131003 - 212 = 13032303126907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13032303131003.

It is not an unprimeable number, because it can be changed into a prime (13032303131053) 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, 1402373825 + ... + 1402383117.

It is an arithmetic number, because the mean of its divisors is an integer number (310793949928).

Almost surely, 213032303131003 is an apocalyptic number.

13032303131003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13032303131003 is a deficient number, since it is larger than the sum of its proper divisors (1885806465541).

13032303131003 is a wasteful number, since it uses less digits than its factorization.

13032303131003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13032303131003 its reverse (30013130323031), we get a palindrome (43045433454034).

The spelling of 13032303131003 in words is "thirteen trillion, thirty-two billion, three hundred three million, one hundred thirty-one thousand, three".

Divisors: 1 13 23 61 299 529 793 1403 3343 6877 9293 18239 32269 43459 76889 120809 203923 213739 419497 566873 999557 1768447 2650999 2778607 4690229 4915997 7369349 13038079 22989811 31066499 60972977 63907961 107875267 169495027 299875817 403864487 714529477 1402378471 1895056439 3898385621 9288883201 16434177971 24635733707 43586298097 213644313623 566621875261 1002484856231 13032303131003