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131324010021 = 33127121331573
BaseRepresentation
bin111101001001110000…
…1010101111000100101
3110112222012021220221000
41322103201111320211
54122422421310041
6140155053143513
712326221444611
oct1722341257045
9415865256830
10131324010021
115076aa86496
122155018ab99
13c4cb298209
1464db27a341
1536391e7bb6
hex1e93855e25

131324010021 has 32 divisors (see below), whose sum is σ = 196253880320. Its totient is φ = 86785618752.

The previous prime is 131324010007. The next prime is 131324010047. The reversal of 131324010021 is 120010423131.

It is not a de Polignac number, because 131324010021 - 27 = 131324009893 is a prime.

It is a super-4 number, since 4×1313240100214 (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131324009976 and 131324010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131324010071) 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 31 ways as a sum of consecutive naturals, for example, 4143591 + ... + 4175163.

It is an arithmetic number, because the mean of its divisors is an integer number (6132933760).

Almost surely, 2131324010021 is an apocalyptic number.

It is an amenable number.

131324010021 is a deficient number, since it is larger than the sum of its proper divisors (64929870299).

131324010021 is a wasteful number, since it uses less digits than its factorization.

131324010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32922 (or 32916 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131324010021 its reverse (120010423131), we get a palindrome (251334433152).

The spelling of 131324010021 in words is "one hundred thirty-one billion, three hundred twenty-four million, ten thousand, twenty-one".

Divisors: 1 3 9 27 127 381 1143 1213 3429 3639 10917 31573 32751 94719 154051 284157 462153 852471 1386459 4009771 4159377 12029313 36087939 38298049 108263817 114894147 344682441 1034047323 4863852223 14591556669 43774670007 131324010021