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131332213323 = 3337911144307
BaseRepresentation
bin111101001010000000…
…0101000101001001011
3110112222202201200202000
41322110000220221023
54122432021311243
6140155545042043
712326351252133
oct1722400505113
9415882650660
10131332213323
1150774679783
1221552a86323
13c4ccbab03c
1464dc3b3ac3
153639cb85d3
hex1e94028a4b

131332213323 has 32 divisors (see below), whose sum is σ = 200045521920. Its totient is φ = 85094362080.

The previous prime is 131332213289. The next prime is 131332213333. The reversal of 131332213323 is 323312233131.

131332213323 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 322 + 1 + 332 + 3 = 666.

It is not a de Polignac number, because 131332213323 - 221 = 131330116171 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131332213333) 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, 837936 + ... + 982242.

It is an arithmetic number, because the mean of its divisors is an integer number (6251422560).

Almost surely, 2131332213323 is an apocalyptic number.

131332213323 is a deficient number, since it is larger than the sum of its proper divisors (68713308597).

131332213323 is a wasteful number, since it uses less digits than its factorization.

131332213323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145264 (or 145258 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131332213323 its reverse (323312233131), we get a palindrome (454644446454).

The spelling of 131332213323 in words is "one hundred thirty-one billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 27 37 111 333 911 999 2733 8199 24597 33707 101121 144307 303363 432921 910089 1298763 3896289 5339359 16018077 48054231 131463677 144162693 394391031 1183173093 3549519279 4864156049 14592468147 43777404441 131332213323