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1323132131331 = 33174196879811
BaseRepresentation
bin10011010000010000110…
…100100001100000000011
311200111020100112110221000
4103100100310201200003
5133134233311200311
62451501041303043
7164410306356453
oct23202064414003
94614210473830
101323132131331
114701566598aa
12194522334a83
1397a0366a20a
144807b82dd63
152463eb35056
hex13410d21803

1323132131331 has 32 divisors (see below), whose sum is σ = 2080455148800. Its totient is φ = 828219047040.

The previous prime is 1323132131261. The next prime is 1323132131381. The reversal of 1323132131331 is 1331312313231.

1323132131331 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 321 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 1323132131331 - 217 = 1323132000259 is a prime.

It is a super-2 number, since 2×13231321313312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1323132131295 and 1323132131304.

It is not an unprimeable number, because it can be changed into a prime (1323132131381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247585 + ... + 3632226.

It is an arithmetic number, because the mean of its divisors is an integer number (65014223400).

Almost surely, 21323132131331 is an apocalyptic number.

1323132131331 is a deficient number, since it is larger than the sum of its proper divisors (757323017469).

1323132131331 is a wasteful number, since it uses less digits than its factorization.

1323132131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880256 (or 6880250 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1323132131331 its reverse (1331312313231), we get a palindrome (2654444444562).

The spelling of 1323132131331 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 419 459 1257 3771 7123 11313 21369 64107 192321 6879811 20639433 61918299 116956787 185754897 350870361 1052611083 2882640809 3157833249 8647922427 25943767281 49004893753 77831301843 147014681259 441044043777 1323132131331