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131213312131 = 1128194231459
BaseRepresentation
bin111101000110011101…
…1000100000010000011
3110112200110222212222011
41322030323010002003
54122211101442011
6140140100353351
712323405515336
oct1721473040203
9415613885864
10131213312131
1150713548530
122151b0a5857
13c4b137a2c5
1464ca6a261d
15362e62d621
hex1e8cec4083

131213312131 has 8 divisors (see below), whose sum is σ = 143192606400. Its totient is φ = 119242486440.

The previous prime is 131213312119. The next prime is 131213312173.

131213312131 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 131213312131 - 215 = 131213279363 is a prime.

It is a super-2 number, since 2×1312133121312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131213316131) 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, 2084721 + ... + 2146738.

It is an arithmetic number, because the mean of its divisors is an integer number (17899075800).

Almost surely, 2131213312131 is an apocalyptic number.

131213312131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131213312131 is a deficient number, since it is larger than the sum of its proper divisors (11979294269).

131213312131 is a wasteful number, since it uses less digits than its factorization.

131213312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234289.

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 131213 and 312131, that added together give a palindrome (443344).

The spelling of 131213312131 in words is "one hundred thirty-one billion, two hundred thirteen million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 2819 31009 4231459 46546049 11928482921 131213312131