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1323123113013 = 31371673370969
BaseRepresentation
bin10011010000010000010…
…010000111110000110101
311200111012201120022010020
4103100100102013300311
5133134224004104023
62451500120115353
7164410136616132
oct23202022076065
94614181508106
101323123113013
1147015155a249
1219451b305b59
1397a01830430
144807a563589
152463de52de3
hex13410487c35

1323123113013 has 32 divisors (see below), whose sum is σ = 1926941103360. Its totient is φ = 802631047680.

The previous prime is 1323123112919. The next prime is 1323123113017. The reversal of 1323123113013 is 3103113213231.

It is not a de Polignac number, because 1323123113013 - 221 = 1323121015861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323123113017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18608193 + ... + 18679161.

It is an arithmetic number, because the mean of its divisors is an integer number (60216909480).

Almost surely, 21323123113013 is an apocalyptic number.

1323123113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323123113013 is a deficient number, since it is larger than the sum of its proper divisors (603817990347).

1323123113013 is a wasteful number, since it uses less digits than its factorization.

1323123113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77789.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1323123113013 its reverse (3103113213231), we get a palindrome (4426236326244).

The spelling of 1323123113013 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-three million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 13 39 71 213 923 2769 6733 20199 70969 87529 212907 262587 478043 922597 1434129 2767791 5038799 6214559 15116397 18643677 65504387 196513161 477834277 1433502831 6211845601 18635536803 33926233667 101778701001 441041037671 1323123113013