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131223313331 = 1129411358349
BaseRepresentation
bin111101000110110000…
…1001101101110110011
3110112201011211000000222
41322031201031232303
54122221132011311
6140141055003255
712323556521345
oct1721541155663
9415634730028
10131223313331
1150719159590
122152250952b
13c4b346c586
1464cbb47295
153630456adb
hex1e8d84dbb3

131223313331 has 8 divisors (see below), whose sum is σ = 148089006000. Its totient is φ = 115180337440.

The previous prime is 131223313307. The next prime is 131223313337. The reversal of 131223313331 is 133313322131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131223313331 - 222 = 131219119027 is a prime.

It is a super-2 number, since 2×1312233133312 (a number of 23 digits) contains 22 as substring.

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 131223313331.

It is not an unprimeable number, because it can be changed into a prime (131223313337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205678856 + ... + 205679493.

It is an arithmetic number, because the mean of its divisors is an integer number (18511125750).

Almost surely, 2131223313331 is an apocalyptic number.

131223313331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131223313331 is a deficient number, since it is larger than the sum of its proper divisors (16865692669).

131223313331 is a wasteful number, since it uses less digits than its factorization.

131223313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411358389.

The product of its digits is 2916, while the sum is 26.

Adding to 131223313331 its reverse (133313322131), we get a palindrome (264536635462).

The spelling of 131223313331 in words is "one hundred thirty-one billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 11 29 319 411358349 4524941839 11929392121 131223313331