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131025511331 = 1113916262317
BaseRepresentation
bin111101000000110111…
…0101010001110100011
3110112012101121121200222
41322001232222032203
54121320012330311
6140105311233255
712315635320211
oct1720156521643
9415171547628
10131025511331
1150627537a60
122148821882b
13c4814a4880
1464ad777cb1
15361cdd3adb
hex1e81baa3a3

131025511331 has 8 divisors (see below), whose sum is σ = 153932069424. Its totient is φ = 109951477920.

The previous prime is 131025511301. The next prime is 131025511403. The reversal of 131025511331 is 133115520131.

It is a happy number.

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 131025511331 - 234 = 113845642147 is a prime.

It is a super-2 number, since 2×1310255113312 (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 131025511331.

It is not an unprimeable number, because it can be changed into a prime (131025511301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458131016 + ... + 458131301.

It is an arithmetic number, because the mean of its divisors is an integer number (19241508678).

Almost surely, 2131025511331 is an apocalyptic number.

131025511331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131025511331 is a deficient number, since it is larger than the sum of its proper divisors (22906558093).

131025511331 is a wasteful number, since it uses less digits than its factorization.

131025511331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916262341.

The product of its (nonzero) digits is 1350, while the sum is 26.

The spelling of 131025511331 in words is "one hundred thirty-one billion, twenty-five million, five hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 13 143 916262317 10078885487 11911410121 131025511331