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13023132332331 = 3111105735691451
BaseRepresentation
bin1011110110000010111100…
…1011010011000100101011
31201002222222111001202200210
42331200233023103010223
53201332333334113311
643410424442432203
72512614234234462
oct275405713230453
951088874052623
1013023132332331
114171096764420
121563b78802663
137360cb29b824
1433047431d9d9
15178b653d63a6
hexbd82f2d312b

13023132332331 has 16 divisors (see below), whose sum is σ = 18944451658368. Its totient is φ = 7892093424000.

The previous prime is 13023132332293. The next prime is 13023132332347. The reversal of 13023132332331 is 13323323132031.

It is not a de Polignac number, because 13023132332331 - 26 = 13023132332267 is a prime.

It is a super-2 number, since 2×130231323323312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13023132332831) 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 15 ways as a sum of consecutive naturals, for example, 17480845 + ... + 18210606.

It is an arithmetic number, because the mean of its divisors is an integer number (1184028228648).

Almost surely, 213023132332331 is an apocalyptic number.

13023132332331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13023132332331 is a deficient number, since it is larger than the sum of its proper divisors (5921319326037).

13023132332331 is a wasteful number, since it uses less digits than its factorization.

13023132332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35702522.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 13023132332331 its reverse (13323323132031), we get a palindrome (26346455464362).

The spelling of 13023132332331 in words is "thirteen trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 11057 33171 121627 364881 35691451 107074353 392605961 1177817883 394640373707 1183921121121 4341044110777 13023132332331